soma := [ rec( isGraph := true, order := 54, group := Group( [ ( 4, 6)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20)(16,26) (17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41)(43,49) (44,50)(45,51)(46,52)(47,53)(48,54), ( 2, 5)( 4, 6)( 8,11)(10,12)(13,31)(14,35)(15,33)(16,36)(17,32) (18,34)(20,23)(22,24)(25,37)(26,41)(27,39)(28,42)(29,38)(30,40) (44,47)(46,48)(50,53)(52,54), ( 3, 5)( 7,14)( 9,26)(10,20)(11,32) (12,38)(15,25)(16,19)(17,31)(18,37)(21,28)(23,34)(24,40)(29,33) (30,39)(36,41)(43,50)(44,49)(45,52)(46,51)(47,53)(48,54), ( 7,21)( 8,22)( 9,19)(10,20)(11,24)(12,23)(13,27)(14,28)(15,25) (16,26)(17,30)(18,29)(31,39)(32,40)(33,37)(34,38)(35,42)(36,41) (43,45)(44,46)(47,48)(49,51)(50,52)(53,54) ] ), schreierVector := [ -1, -2, 3, -3, 2, 1, -4, -5, -6, -7, 2, 2, 1, 3, 3, 3, 3, 3, 1, 3, 4, 4, 4, 4, 1, 3, 4, 4, 2, 4, 2, 3, 4, 4, 2, 2, 2, 3, 4, 4, 2, 4, -8, 3, 4, 4, 2, 4, 1, 3, 4, 4, 2, 4 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 8, 13, 22, 27, 36, 41 ], [ 10, 18, 20, 29, 33, 37 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 3, 43, 51 ], [ 4, 43, 52 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ] ], representatives := [ 1, 2, 4, 7, 8, 9, 10, 43 ], isSimple := true, autGroup := Group( [ ( 4, 6)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20)(16,26) (17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41)(43,49) (44,50)(45,51)(46,52)(47,53)(48,54), ( 2, 5)( 4, 6)( 8,11)(10,12)(13,31)(14,35)(15,33)(16,36)(17,32) (18,34)(20,23)(22,24)(25,37)(26,41)(27,39)(28,42)(29,38)(30,40) (44,47)(46,48)(50,53)(52,54), ( 3, 5)( 7,14)( 9,26)(10,20)(11,32) (12,38)(15,25)(16,19)(17,31)(18,37)(21,28)(23,34)(24,40)(29,33) (30,39)(36,41)(43,50)(44,49)(45,52)(46,51)(47,53)(48,54), ( 7,21)( 8,22)( 9,19)(10,20)(11,24)(12,23)(13,27)(14,28)(15,25) (16,26)(17,30)(18,29)(31,39)(32,40)(33,37)(34,38)(35,42)(36,41) (43,45)(44,46)(47,48)(49,51)(50,52)(53,54) ] ), names := [ (), (1,2)(3,4)(5,6), (1,3)(2,5)(4,6), (1,4,5,3,2,6), (1,5)(2,4)(3,6), (1,6,2,3,5,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ], canonicalLabelling := ( 1, 8,12,11,20,42, 5,27,19,33,21,18,34,29,40) ( 2,36,28,23,31,39, 3,41, 4,13,14, 7,32,37)( 6,22,24,35,16,26,17,30, 25,15,10,38)(44,50,52)(45,47,51,49,46,54,53) ), rec( isGraph := true, order := 54, group := Group( [ ( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20)(16,26)(17,32) (18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41)(43,49)(44,50) (45,51)(46,52)(47,53)(48,54), ( 3, 4)( 5, 6)( 9,10)(11,12)(15,16) (17,18)(19,25)(20,26)(21,28)(22,27)(23,30)(24,29)(31,37)(32,38) (33,40)(34,39)(35,42)(36,41)(45,46)(47,48)(51,52)(53,54), ( 3, 5, 4, 6)( 9,11,10,12)(15,17,16,18)(19,31,25,37)(20,32,26,38) (21,35,28,42)(22,36,27,41)(23,34,30,39)(24,33,29,40)(45,47,46,48) (51,53,52,54), ( 2, 3)( 4, 5)( 8, 9)(10,11)(13,19)(14,21)(15,20) (16,23)(17,22)(18,24)(25,31)(26,33)(27,32)(28,35)(29,34)(30,36) (38,39)(40,41)(44,45)(46,47)(50,51)(52,53), ( 3, 5)( 4, 6)( 7,14)( 9,26)(10,20)(11,32)(12,38)(15,25)(16,19) (17,31)(18,37)(21,28)(23,34)(24,40)(29,33)(30,39)(36,41)(43,50) (44,49)(45,52)(46,51)(47,53)(48,54) ] ), schreierVector := [ -1, -2, 4, 2, 3, 3, -3, -4, 4, 2, 3, 3, 1, 5, 5, 5, 5, 3, 4, 5, 4, 4, 4, 4, 2, 5, 4, 2, 3, 2, 3, 5, 4, 3, 3, 3, 3, 3, 4, 2, 3, 3, -5, 5, 4, 5, 3, 3, 1, 5, 4, 2, 3, 3 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 8, 13, 22, 27, 36, 41 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ] ], representatives := [ 1, 2, 7, 8, 43 ], isSimple := true, autGroup := Group( [ ( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20)(16,26)(17,32) (18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41)(43,49)(44,50) (45,51)(46,52)(47,53)(48,54), ( 3, 4)( 5, 6)( 9,10)(11,12)(15,16) (17,18)(19,25)(20,26)(21,28)(22,27)(23,30)(24,29)(31,37)(32,38) (33,40)(34,39)(35,42)(36,41)(45,46)(47,48)(51,52)(53,54), ( 3, 5, 4, 6)( 9,11,10,12)(15,17,16,18)(19,31,25,37)(20,32,26,38) (21,35,28,42)(22,36,27,41)(23,34,30,39)(24,33,29,40)(45,47,46,48) (51,53,52,54), ( 2, 3)( 4, 5)( 8, 9)(10,11)(13,19)(14,21)(15,20) (16,23)(17,22)(18,24)(25,31)(26,33)(27,32)(28,35)(29,34)(30,36) (38,39)(40,41)(44,45)(46,47)(50,51)(52,53), ( 3, 5)( 4, 6)( 7,14)( 9,26)(10,20)(11,32)(12,38)(15,25)(16,19) (17,31)(18,37)(21,28)(23,34)(24,40)(29,33)(30,39)(36,41)(43,50) (44,49)(45,52)(46,51)(47,53)(48,54) ] ), canonicalLabelling := ( 1, 8, 7,14, 9,10,20,15,11,38)( 2,13,26,21,37) ( 3,22,18,19,25,28,35,39, 6,41)( 4,27,42, 5,36,30,34,33,29,23,17,16, 32,24,31,40)(44,50,51,54,53,47,45)(46,49)(48,52), names := [ (), (1,2)(3,4)(5,6), (1,3)(2,5)(4,6), (1,4)(2,6)(3,5), (1,5)(2,4)(3,6), (1,6)(2,3)(4,5), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 3, 5)( 8,13)( 9,25)(10,19)(11,37)(12,31)(15,26)(16,20) (17,38)(18,32)(21,28)(23,40)(24,34)(29,39)(30,33)(35,42)(43,49) (44,50)(45,52)(46,51)(47,54)(48,53), ( 4, 6)( 7,14)( 9,20)(10,26)(11,38)(12,32)(15,19)(16,25)(17,37) (18,31)(22,27)(23,39)(24,33)(29,40)(30,34)(35,42)(43,50)(44,49) (45,51)(46,52)(47,54)(48,53), ( 3, 4, 5, 6)( 7,28,14,21)( 8,22,13,27)( 9,10,16,15)(11,40,17,39) (12,34,18,33)(19,25,26,20)(23,37,29,38)(24,31,30,32)(35,42) (43,52,44,51)(45,49,46,50)(47,54)(48,53) ] ), schreierVector := [ -1, -2, -3, 3, 1, 3, -4, -5, -6, 3, -7, -8, 1, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 1, 2, 3, 3, -9, -10, 1, 2, 3, 3, -11, 1, -12, 2, 3, 3, -13, -14, 1, 2, 3, 3, 1, 1 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 8, 13, 22, 27, 36, 41 ], [ 9, 17, 20, 30, 34, 37 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 3, 43, 51 ], [ 5, 43, 53 ], [ 6, 43, 54 ], [ 1, 47, 53 ], [ 2, 47, 54 ], [ 2, 48, 53 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 31, 32, 33, 34, 35, 36, 43, 44, 45, 46, 48 ], [ 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 ] ], representatives := [ 1, 2, 3, 7, 8, 9, 11, 12, 35, 36, 41, 43, 47, 48 ], isSimple := true, autGroup := Group( [ ( 3, 5)( 8,13)( 9,25)(10,19)(11,37)(12,31)(15,26)(16,20) (17,38)(18,32)(21,28)(23,40)(24,34)(29,39)(30,33)(35,42)(43,49) (44,50)(45,52)(46,51)(47,54)(48,53), ( 4, 6)( 7,14)( 9,20)(10,26)(11,38)(12,32)(15,19)(16,25)(17,37) (18,31)(22,27)(23,39)(24,33)(29,40)(30,34)(35,42)(43,50)(44,49) (45,51)(46,52)(47,54)(48,53), ( 3, 4, 5, 6)( 7,28,14,21)( 8,22,13,27)( 9,10,16,15)(11,40,17,39) (12,34,18,33)(19,25,26,20)(23,37,29,38)(24,31,30,32)(35,42) (43,52,44,51)(45,49,46,50)(47,54)(48,53) ] ), canonicalLabelling := ( 1,11,23,13, 9,35,40, 6,38, 4,24,37, 5,16,17,19, 31,34,20,27,42, 3,33,22,26,21,30,18,28,14,12, 8,29,39) ( 2,25,32,36,15,41)(44,53,50)(45,46,49)(47,52,54,51,48), names := [ (), (1,2)(3,4)(5,6), (1,3,2,5,4,6), (1,4,5,2,6,3), (1,5,3,6,2,4), (1,6,4,2,3,5), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 3, 6)( 4, 5)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20) (16,26)(17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41) (43,49)(44,50)(45,51)(46,52)(47,53)(48,54), ( 3, 4)( 5, 6)( 9,10)(11,12)(15,16)(17,18)(19,25)(20,26)(21,28) (22,27)(23,30)(24,29)(31,37)(32,38)(33,40)(34,39)(35,42)(36,41) (45,46)(47,48)(51,52)(53,54), ( 3, 4)( 5, 6)( 7,14)( 9,26)(10,20) (11,32)(12,38)(15,25)(16,19)(17,31)(18,37)(21,28)(23,34)(24,40) (29,33)(30,39)(36,41)(43,50)(44,49)(45,52)(46,51)(47,53)(48,54), ( 3, 4, 6, 5)( 7,35,14,42)( 8,41,13,36)( 9,23,15,24)(10,29,16,30) (11,17,18,12)(19,33,20,39)(22,27)(25,34,26,40)(31,32,38,37) (43,53,44,54)(45,51)(46,52)(47,50,48,49) ] ), schreierVector := [ -1, -2, -3, 2, 2, 1, -4, -5, -6, 2, -7, 2, 1, 3, 4, 3, 4, 2, 1, 3, -8, -9, 4, 2, 2, 3, 1, 2, 4, 2, 1, 3, 4, 3, 4, 4, 2, 3, 4, 4, 4, 4, -10, 3, -11, 2, 4, 4, 1, 3, 1, 3, 4, 2 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 8, 13, 22, 27, 36, 41 ], [ 9, 17, 20, 30, 34, 37 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 3, 43, 51 ], [ 5, 43, 53 ], [ 1, 45, 51 ], [ 2, 45, 52 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 19, 20, 21, 22, 23, 24, 43, 44, 46, 47, 48 ] ], representatives := [ 1, 2, 3, 7, 8, 9, 11, 21, 22, 43, 45 ], isSimple := true, autGroup := Group( [ ( 3, 6)( 4, 5)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20) (16,26)(17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41) (43,49)(44,50)(45,51)(46,52)(47,53)(48,54), ( 3, 4)( 5, 6)( 9,10)(11,12)(15,16)(17,18)(19,25)(20,26)(21,28) (22,27)(23,30)(24,29)(31,37)(32,38)(33,40)(34,39)(35,42)(36,41) (45,46)(47,48)(51,52)(53,54), ( 3, 4)( 5, 6)( 7,14)( 9,26)(10,20) (11,32)(12,38)(15,25)(16,19)(17,31)(18,37)(21,28)(23,34)(24,40) (29,33)(30,39)(36,41)(43,50)(44,49)(45,52)(46,51)(47,53)(48,54), ( 3, 4, 6, 5)( 7,35,14,42)( 8,41,13,36)( 9,23,15,24)(10,29,16,30) (11,17,18,12)(19,33,20,39)(22,27)(25,34,26,40)(31,32,38,37) (43,53,44,54)(45,51)(46,52)(47,50,48,49) ] ), canonicalLabelling := ( 1, 9,15,33,16,11, 7,12,21,28,22,42, 5,17,29,32, 38, 2,30,41)( 3,20,18,36,35,23,25,13,10, 8,27,40, 4,37) ( 6,34,31,14,39)(19,26)(43,51,48,50,47,44)(45,54)(49,53,52), names := [ (), (1,2)(3,4)(5,6), (1,3,2,5,4,6), (1,4,2,6,3,5), (1,5,3,6,2,4), (1,6,4,5,2,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 3, 4, 5, 6)( 9,10,11,12)(15,16,17,18)(19,25,31,37)(20,26,32, 38)(21,28,35,42)(22,29,36,39)(23,30,33,40)(24,27,34,41) (45,46,47,48)(51,52,53,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19) (14,21)(15,20)(16,22)(17,24)(18,23)(26,27)(29,30)(31,37)(32,39) (33,38)(34,40)(35,42)(36,41)(44,45)(47,48)(50,51)(53,54), ( 1, 2)( 4, 6)( 7,13)( 8,14)( 9,16)(10,15)(11,18)(12,17)(21,22) (23,24)(25,37)(26,38)(27,40)(28,39)(29,42)(30,41)(33,34)(35,36) (43,44)(46,48)(51,52)(53,54) ] ), schreierVector := [ -1, 3, 2, 1, 1, 3, -2, -3, 2, 1, 1, 1, 3, 3, 3, 3, 1, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 3, 3, 3, 3, 2, 3, -4, 3, 2, 1, 1, 3, -5, -6, 2, 1, 1, 1 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 7, 13, 19, 25, 31, 37, 50, 51, 52, 53, 54 ], [ 8, 14, 20, 26, 32, 38, 49, 51, 52, 53, 54 ] ], representatives := [ 1, 7, 8, 43, 49, 50 ], isSimple := true, autGroup := Group( [ ( 3, 4, 5, 6)( 9,10,11,12)(15,16,17,18)(19,25,31,37) (20,26,32,38)(21,28,35,42)(22,29,36,39)(23,30,33,40)(24,27,34,41) (45,46,47,48)(51,52,53,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19) (14,21)(15,20)(16,22)(17,24)(18,23)(26,27)(29,30)(31,37)(32,39) (33,38)(34,40)(35,42)(36,41)(44,45)(47,48)(50,51)(53,54), ( 1, 2)( 4, 6)( 7,13)( 8,14)( 9,16)(10,15)(11,18)(12,17)(21,22) (23,24)(25,37)(26,38)(27,40)(28,39)(29,42)(30,41)(33,34)(35,36) (43,44)(46,48)(51,52)(53,54) ] ), canonicalLabelling := ( 1, 8,10,38, 4,36,15, 7,20,28,27,31,41) ( 2,22,34,30,33,42, 3,29,25,17,24,19,23,21,16, 9,11,12,14,26,18,40, 6, 13,32,35,37)( 5,39)(43,50,51,49,54,46,45,52,47,48,53,44), names := [ (), (1,2)(3,4,5,6), (1,3)(2,4,6,5), (1,4)(2,5,3,6), (1,5)(2,6,4,3), (1,6)(2,3,5,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22) (17,24)(18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42) (36,41)(44,45)(47,48)(50,51)(53,54), ( 1, 2)( 3, 4)( 5, 6)( 7,13)( 8,14)( 9,17)(10,16)(11,15)(12,18) (19,25)(20,26)(21,29)(22,28)(23,27)(24,30)(31,37)(32,38)(33,41) (34,40)(35,39)(36,42)(43,44)(45,46)(47,48)(51,53) ] ), schreierVector := [ -1, 2, 1, 2, -2, 1, -3, -4, 1, -5, -6, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, -7, -8, 1, -9, 2, 2, 1, 2, 1, 1, 2, 1, -10, 2, 1, 2, -11, 1, -12, -13, 1, -14, 2, 1 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 11, 18, 20, 27, 34, 37 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 4, 43, 52 ], [ 5, 43, 53 ], [ 6, 47, 49 ], [ 3, 47, 50 ], [ 5, 47, 52 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 31, 32, 33, 34, 35, 36, 43, 44, 45, 46, 48 ], [ 7, 13, 19, 25, 31, 37, 50, 51, 52, 53, 54 ], [ 8, 14, 20, 26, 32, 38, 49, 51, 52, 53, 54 ], [ 10, 16, 22, 28, 34, 40, 49, 50, 51, 53, 54 ] ], representatives := [ 1, 5, 7, 8, 10, 11, 31, 32, 34, 43, 47, 49, 50, 52 ], isSimple := true, autGroup := Group( [ ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22) (17,24)(18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42) (36,41)(44,45)(47,48)(50,51)(53,54), ( 1, 2)( 3, 4)( 5, 6)( 7,13)( 8,14)( 9,17)(10,16)(11,15)(12,18) (19,25)(20,26)(21,29)(22,28)(23,27)(24,30)(31,37)(32,38)(33,41) (34,40)(35,39)(36,42)(43,44)(45,46)(47,48)(51,53) ] ), canonicalLabelling := ( 1,11,10,29,13,41)( 2,20,14,17,22,38) ( 3,18,26,40, 4,34,16, 9,12,35,25,36,33,28,15, 7,23,21,32,42) ( 5,27,31,30,39, 6,37)(19,24)(43,53,48,54,44)(45,50,51,49,52,47,46), names := [ (), (1,2)(3,4,5,6), (1,3)(2,4,6,5), (1,4)(2,5,3,6), (1,5,4,3,2,6), (1,6,4,2,3,5), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22) (17,24)(18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42) (36,41)(44,45)(47,48)(50,51)(53,54), ( 1, 2)( 4, 5)( 7,13)( 8,14)( 9,16)(10,15)(11,18)(12,17)(21,22) (23,24)(25,37)(26,38)(27,40)(28,39)(29,42)(30,41)(33,34)(35,36) (43,44)(46,48)(51,52)(53,54), ( 1, 4)( 2, 6)( 3, 5)( 7,25)( 8,27) ( 9,26)(10,28)(11,30)(12,29)(13,31)(14,33)(15,32)(16,34)(17,36) (18,35)(19,37)(20,39)(21,38)(22,40)(23,42)(24,41)(43,46)(44,47) (45,48)(50,51)(53,54) ] ), schreierVector := [ -1, 2, 1, 3, 2, 3, -2, -3, 1, -4, -5, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, -6, 2, 1, 3, 3, 2, -7, -8, 1, 2, -9, 1 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 4, 43, 52 ], [ 5, 43, 53 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 7, 13, 19, 25, 31, 37, 50, 51, 52, 53, 54 ], [ 8, 14, 20, 26, 32, 38, 49, 51, 52, 53, 54 ], [ 11, 17, 23, 29, 35, 41, 49, 50, 51, 52, 54 ] ], representatives := [ 1, 7, 8, 10, 11, 43, 49, 50, 53 ], isSimple := true, autGroup := Group( [ ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22) (17,24)(18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42) (36,41)(44,45)(47,48)(50,51)(53,54), ( 1, 2)( 4, 5)( 7,13)( 8,14)( 9,16)(10,15)(11,18)(12,17)(21,22) (23,24)(25,37)(26,38)(27,40)(28,39)(29,42)(30,41)(33,34)(35,36) (43,44)(46,48)(51,52)(53,54), ( 1, 4)( 2, 6)( 3, 5)( 7,25)( 8,27) ( 9,26)(10,28)(11,30)(12,29)(13,31)(14,33)(15,32)(16,34)(17,36) (18,35)(19,37)(20,39)(21,38)(22,40)(23,42)(24,41)(43,46)(44,47) (45,48)(50,51)(53,54) ] ), canonicalLabelling := ( 1, 8,10,38, 4,29,25,18,40, 5,39, 6,13,14,26,17, 23,19,24,21,28,27,31,42)( 2,22,34,35,37)( 3,36,15, 9,12,32,30,33,41) ( 7,20,16)(43,50,51,49,53,44)(45,52,46)(47,48,54), names := [ (), (1,2)(3,4,5,6), (1,3)(2,4,6,5), (1,4)(2,6)(3,5), (1,5,4,2,3,6), (1,6,4,3,2,5), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 3, 5)( 4, 6)( 9,11)(10,12)(15,17)(16,18)(19,31)(20,32) (21,35)(22,36)(23,33)(24,34)(25,37)(26,38)(27,41)(28,42)(29,39) (30,40)(45,47)(46,48)(51,53)(52,54), ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,14)(15,16)(17,18) (19,20)(21,22)(23,24)(25,38)(26,37)(27,40)(28,39)(29,42)(30,41) (31,32)(33,34)(35,36)(46,48)(49,50)(51,52)(53,54) ] ), schreierVector := [ -1, 2, -2, 2, 1, 2, -3, 2, -4, 2, 1, 2, -5, 2, -6, 2, 1, 2, -7, 2, -8, 2, -9, 2, -10, 2, -11, -12, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, -13, -14, -15, -16, 1, 1, -17, 2, -18, 2, 1, 2 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 9, 16, 23, 30, 32, 37 ], [ 1, 43, 49 ], [ 3, 43, 51 ], [ 2, 44, 49 ], [ 4, 44, 51 ], [ 6, 45, 49 ], [ 1, 45, 51 ], [ 3, 45, 53 ], [ 5, 46, 49 ], [ 6, 46, 51 ], [ 1, 46, 52 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 13, 14, 15, 16, 17, 18, 43, 45, 46, 47, 48 ], [ 19, 20, 21, 22, 23, 24, 43, 44, 46, 47, 48 ], [ 25, 26, 27, 28, 29, 30, 43, 44, 45, 47, 48 ], [ 7, 13, 19, 25, 31, 37, 50, 51, 52, 53, 54 ], [ 9, 15, 21, 27, 33, 39, 49, 50, 52, 53, 54 ] ], representatives := [ 1, 3, 7, 9, 13, 15, 19, 21, 23, 25, 27, 28, 43, 44, 45, 46, 49, 51 ], isSimple := true, autGroup := Group( [ ( 3, 5)( 4, 6)( 9,11)(10,12)(15,17)(16,18)(19,31)(20,32) (21,35)(22,36)(23,33)(24,34)(25,37)(26,38)(27,41)(28,42)(29,39) (30,40)(45,47)(46,48)(51,53)(52,54), ( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,14)(15,16)(17,18) (19,20)(21,22)(23,24)(25,38)(26,37)(27,40)(28,39)(29,42)(30,41) (31,32)(33,34)(35,36)(46,48)(49,50)(51,52)(53,54) ] ), canonicalLabelling := ( 1,25,24, 9,19,21,35,22,39, 4,11, 7,31, 8,27,12, 29,10,26,38, 6,18,34,14,30,17,15,28,41)( 2,33,42)( 3,20,32,23,36,16, 13,37, 5,40)(43,46,51,53,54,48,45,47,50,52)(44,49), names := [ (), (1,2)(3,4,5,6), (1,3,5,2,4,6), (1,4,2,3,6,5), (1,5,3,2,6,4), (1,6,2,5,4,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 4, 6)( 7,14)( 9,20)(10,38)(11,32)(12,26)(15,19)(16,37) (17,31)(18,25)(22,39)(23,33)(24,27)(28,42)(29,36)(34,41)(43,50) (44,49)(45,51)(46,54)(47,53)(48,52), ( 1, 5)( 2, 6)( 3, 4)( 7,11)( 8,12)( 9,10)(13,23)(14,24)(15,22) (16,21)(17,19)(18,20)(25,29)(26,30)(27,28)(31,41)(32,42)(33,40) (34,39)(35,37)(36,38)(44,45)(47,48)(49,53)(50,54)(51,52) ] ), schreierVector := [ -1, -2, 2, 1, 2, 2, -3, -4, -5, 2, 2, 2, -6, 1, -7, -8, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, -9, -10, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 8, 13, 22, 29, 36, 39 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 3, 43, 51 ], [ 2, 44, 49 ], [ 6, 44, 51 ], [ 5, 44, 52 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 13, 14, 15, 16, 17, 18, 43, 45, 46, 47, 48 ] ], representatives := [ 1, 2, 7, 8, 9, 13, 15, 16, 43, 44 ], isSimple := true, autGroup := Group( [ ( 4, 6)( 7,14)( 9,20)(10,38)(11,32)(12,26)(15,19)(16,37) (17,31)(18,25)(22,39)(23,33)(24,27)(28,42)(29,36)(34,41)(43,50) (44,49)(45,51)(46,54)(47,53)(48,52), ( 1, 5)( 2, 6)( 3, 4)( 7,11)( 8,12)( 9,10)(13,23)(14,24)(15,22) (16,21)(17,19)(18,20)(25,29)(26,30)(27,28)(31,41)(32,42)(33,40) (34,39)(35,37)(36,38)(44,45)(47,48)(49,53)(50,54)(51,52) ] ), canonicalLabelling := ( 1, 8,11,20,35,42, 6,39, 4,36,21,17,41, 3,22,30, 37, 2,29,33,40)( 5,13,14, 7,26,18,27,19,28,24,25,16,38) ( 9,10,32,31,34,15)(43,50,48,52,44)(45,53,54)(49,51), names := [ (), (1,2)(3,4,5,6), (1,3,2,5)(4,6), (1,4,2,6,5,3), (1,5,2,4,3,6), (1,6,2,3,5,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 5, 6)( 8,13)( 9,31)(10,25)(11,19)(12,37)(15,32)(16,26) (17,20)(18,38)(21,35)(22,29)(24,41)(27,34)(30,40)(36,39)(43,49) (44,50)(45,53)(46,52)(47,51)(48,54), ( 5, 6)( 7,14)( 9,20)(10,38)(11,32)(12,26)(15,19)(16,37)(17,31) (18,25)(22,39)(23,33)(24,27)(28,42)(29,36)(34,41)(43,50)(44,49) (45,51)(46,54)(47,53)(48,52), ( 1, 4)( 2, 6)( 3, 5)( 7,10)( 8,12) ( 9,11)(13,16)(14,18)(15,17)(19,22)(20,24)(21,23)(25,28)(26,30) (27,29)(31,34)(32,36)(33,35)(37,40)(38,42)(39,41)(49,52)(50,54) (51,53) ] ), schreierVector := [ -1, -2, 3, 3, 1, 3, -3, -4, -5, 3, 3, 3, 1, 2, 3, 3, 2, 3, 1, 2, -6, 3, 3, 3, 1, 2, 1, 3, 3, 3, 1, 2, 3, 3, 1, 3, 1, 2, 3, 3, 2, 3, -7, 2, -8, 1, 2, 2, 1, 2, 2, 3, 1, 3 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 8, 13, 22, 29, 36, 39 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 3, 43, 51 ], [ 1, 45, 51 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 19, 20, 21, 22, 23, 24, 43, 44, 46, 47, 48 ] ], representatives := [ 1, 2, 7, 8, 9, 21, 43, 45 ], isSimple := true, autGroup := Group( [ ( 5, 6)( 8,13)( 9,31)(10,25)(11,19)(12,37)(15,32)(16,26) (17,20)(18,38)(21,35)(22,29)(24,41)(27,34)(30,40)(36,39)(43,49) (44,50)(45,53)(46,52)(47,51)(48,54), ( 5, 6)( 7,14)( 9,20)(10,38)(11,32)(12,26)(15,19)(16,37)(17,31) (18,25)(22,39)(23,33)(24,27)(28,42)(29,36)(34,41)(43,50)(44,49) (45,51)(46,54)(47,53)(48,52), ( 1, 4)( 2, 6)( 3, 5)( 7,10)( 8,12) ( 9,11)(13,16)(14,18)(15,17)(19,22)(20,24)(21,23)(25,28)(26,30) (27,29)(31,34)(32,36)(33,35)(37,40)(38,42)(39,41)(49,52)(50,54) (51,53) ] ), canonicalLabelling := ( 1, 8,11, 9,20,17,28,37, 2,29,40, 3,22,27,15,12, 14,32,16,38, 5,39, 4,36,33,31,19,30,21,35,18,23,41)( 6,13, 7,26,34,42 )(24,25)(44,50,54,49,47,52,51,48,45,53), names := [ (), (1,2)(3,4,5,6), (1,3,2,5)(4,6), (1,4)(2,6)(3,5), (1,5,4,2,3,6), (1,6,5,2,4,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 5, 6)( 8,13)( 9,31)(10,25)(11,19)(12,37)(15,32)(16,26) (17,20)(18,38)(21,35)(22,29)(24,41)(27,34)(30,40)(36,39)(43,49) (44,50)(45,53)(46,52)(47,51)(48,54), ( 7,14)( 9,20)(10,38)(11,32)(12,26)(15,19)(16,37)(17,31)(18,25) (22,39)(23,33)(24,27)(28,42)(29,36)(34,41)(43,50)(44,49)(45,51) (46,54)(47,53)(48,52), ( 2, 3)( 7,42)( 8,30)( 9,36)(10,18)(11,24) (13,40)(14,28)(15,34)(17,22)(19,41)(20,29)(21,35)(25,38)(27,32) (31,39)(43,54)(44,52)(45,53)(46,50)(47,51)(48,49) ] ), schreierVector := [ -1, -2, 3, -3, -4, 1, -5, -6, -7, -8, -9, -10, 1, 2, 2, 2, 2, 3, 1, 2, -11, 3, -12, 3, 1, 2, 3, 3, 3, 3, 1, 2, 2, 3, 1, 3, 1, 2, 3, 3, 3, 3, -13, 2, -14, 3, 2, 3, 1, 2, 2, 3, 1, 3 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 8, 13, 22, 29, 36, 39 ], [ 10, 18, 23, 25, 33, 38 ], [ 11, 16, 24, 27, 32, 37 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 3, 43, 51 ], [ 4, 43, 52 ], [ 5, 43, 53 ], [ 6, 43, 54 ], [ 1, 45, 51 ], [ 4, 45, 53 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 19, 20, 21, 22, 23, 24, 43, 44, 46, 47, 48 ] ], representatives := [ 1, 2, 4, 5, 7, 8, 9, 10, 11, 12, 21, 23, 43, 45 ], isSimple := true, autGroup := Group( [ ( 5, 6)( 8,13)( 9,31)(10,25)(11,19)(12,37)(15,32)(16,26) (17,20)(18,38)(21,35)(22,29)(24,41)(27,34)(30,40)(36,39)(43,49) (44,50)(45,53)(46,52)(47,51)(48,54), ( 7,14)( 9,20)(10,38)(11,32)(12,26)(15,19)(16,37)(17,31)(18,25) (22,39)(23,33)(24,27)(28,42)(29,36)(34,41)(43,50)(44,49)(45,51) (46,54)(47,53)(48,52), ( 2, 3)( 7,42)( 8,30)( 9,36)(10,18)(11,24) (13,40)(14,28)(15,34)(17,22)(19,41)(20,29)(21,35)(25,38)(27,32) (31,39)(43,54)(44,52)(45,53)(46,50)(47,51)(48,49) ] ), canonicalLabelling := ( 1,12,42, 5,41)( 2,26,39)( 3,15,11, 7, 8,30,22, 14,18,20,27,40, 4,34,35,21,28,13,10, 9,36,23,25,31,33,37, 6,19,32,16, 24,38)(17,29)(44,54,49,45,46,50,53,48,47,51), names := [ (), (1,2)(3,4,5,6), (1,3,2,5)(4,6), (1,4)(2,6)(3,5), (1,5,2,4,3,6), (1,6,5,4,2,3), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 2, 3)( 5, 6)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20) (16,26)(17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41) (43,49)(44,50)(45,51)(46,52)(47,53)(48,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22)(17,24) (18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42)(36,41) (44,45)(47,48)(50,51)(53,54), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18) (19,20,21)(22,23,24)(25,26,27)(28,29,30)(31,32,33)(34,35,36) (37,38,39)(40,41,42)(49,50,51)(52,53,54), ( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,11)( 9,12)(13,16)(14,17)(15,18) (19,22)(20,23)(21,24)(25,28)(26,29)(27,30)(31,34)(32,35)(33,36) (37,40)(38,41)(39,42)(49,52)(50,53)(51,54) ] ), schreierVector := [ -1, 3, 1, 4, 4, 4, -2, 3, 2, 4, 4, 4, 1, 3, 3, 4, 4, 4, 2, 3, 2, 4, 4, 4, 1, 3, 2, 4, 4, 4, 1, 3, 3, 4, 4, 4, 1, 3, 2, 4, 4, 4, -3, 1, 2, 1, 1, 1, 1, 3, 2, 4, 4, 4 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 1, 43, 49 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ] ], representatives := [ 1, 7, 43 ], isSimple := true, autGroup := Group( [ ( 2, 3)( 5, 6)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20) (16,26)(17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41) (43,49)(44,50)(45,51)(46,52)(47,53)(48,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22)(17,24) (18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42)(36,41) (44,45)(47,48)(50,51)(53,54), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18) (19,20,21)(22,23,24)(25,26,27)(28,29,30)(31,32,33)(34,35,36) (37,38,39)(40,41,42)(49,50,51)(52,53,54), ( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,11)( 9,12)(13,16)(14,17)(15,18) (19,22)(20,23)(21,24)(25,28)(26,29)(27,30)(31,34)(32,35)(33,36) (37,40)(38,41)(39,42)(49,52)(50,53)(51,54) ] ), canonicalLabelling := ( 1, 7,10, 8,25,17,26,32,38, 4,35,33,36,23,27,24, 22,40, 3,14,11,19,29,15,37)( 2,28,39)( 5,21,30,20,34,41)( 6,42) ( 9,13,31,18,16,12)(44,49,53,54,48)(45,52)(47,50), names := [ (), (1,2,3)(4,5,6), (1,3,2)(4,6,5), (1,4)(2,5)(3,6), (1,5,3,4,2,6), (1,6,2,4,3,5), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 2, 3)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20)(16,26) (17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41)(43,49) (44,50)(45,51)(46,52)(47,53)(48,54), ( 4, 5, 6)(10,11,12)(16,17,18)(22,23,24)(25,31,37)(26,32,38) (27,33,39)(28,35,42)(29,36,40)(30,34,41)(46,47,48)(52,53,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22)(17,24) (18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42)(36,41) (44,45)(47,48)(50,51)(53,54), ( 5, 6)( 7,14)( 9,20)(10,32)(11,26) (12,38)(15,19)(16,31)(17,25)(18,37)(22,33)(23,27)(24,39)(28,35) (30,41)(36,40)(43,50)(44,49)(45,51)(46,53)(47,52)(48,54), ( 5, 6)( 7,28)( 8,29)( 9,30)(10,25)(11,26)(12,27)(13,34)(14,35) (15,36)(16,31)(17,32)(18,33)(19,40)(20,41)(21,42)(22,37)(23,38) (24,39)(43,46)(44,47)(45,48)(49,52)(50,53)(51,54) ] ), schreierVector := [ -1, -2, 1, -3, 2, 2, -4, -5, 3, -6, 2, 2, 1, 4, 4, 4, 4, 2, 3, 4, 3, 5, 5, 3, 1, 4, 5, 5, 5, 5, 2, 4, 3, 5, 5, 2, 2, 2, 3, 5, 2, 5, -7, 4, 3, 5, 2, 2, 1, 4, 3, 5, 5, 5 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 8, 15, 19, 29, 36, 40 ], [ 10, 17, 24, 25, 32, 39 ], [ 1, 43, 49 ], [ 2, 43, 50 ], [ 4, 43, 52 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ] ], representatives := [ 1, 2, 4, 7, 8, 10, 43 ], isSimple := true, autGroup := Group( [ ( 2, 3)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20)(16,26) (17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41)(43,49) (44,50)(45,51)(46,52)(47,53)(48,54), ( 4, 5, 6)(10,11,12)(16,17,18)(22,23,24)(25,31,37)(26,32,38) (27,33,39)(28,35,42)(29,36,40)(30,34,41)(46,47,48)(52,53,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22)(17,24) (18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42)(36,41) (44,45)(47,48)(50,51)(53,54), ( 5, 6)( 7,14)( 9,20)(10,32)(11,26) (12,38)(15,19)(16,31)(17,25)(18,37)(22,33)(23,27)(24,39)(28,35) (30,41)(36,40)(43,50)(44,49)(45,51)(46,53)(47,52)(48,54), ( 5, 6)( 7,28)( 8,29)( 9,30)(10,25)(11,26)(12,27)(13,34)(14,35) (15,36)(16,31)(17,32)(18,33)(19,40)(20,41)(21,42)(22,37)(23,38) (24,39)(43,46)(44,47)(45,48)(49,52)(50,53)(51,54) ] ), canonicalLabelling := ( 1, 8,26,18,23,28,31,42, 3,36,21,25,37, 2,29,33, 13, 7,11,10,12,32,34,39, 5,15, 9,38, 6,19,41, 4,40)(16,20,30,22,17,27 )(24,35)(44,50,51,47,54,49,45,46,53), names := [ (), (1,2,3)(4,5,6), (1,3,2)(4,6,5), (1,4)(2,5)(3,6), (1,5)(2,6)(3,4), (1,6)(2,4)(3,5), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 4, 5, 6)(10,11,12)(16,17,18)(22,23,24)(25,31,37)(26,32,38) (27,33,39)(28,35,42)(29,36,40)(30,34,41)(46,47,48)(52,53,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22)(17,24) (18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42)(36,41) (44,45)(47,48)(50,51)(53,54), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18) (19,20,21)(22,23,24)(25,26,27)(28,29,30)(31,32,33)(34,35,36) (37,38,39)(40,41,42)(49,50,51)(52,53,54), ( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,11)( 9,12)(13,16)(14,17)(15,18) (19,22)(20,23)(21,24)(25,28)(26,29)(27,30)(31,40)(32,41)(33,42) (34,37)(35,38)(36,39)(47,48)(49,52)(50,53)(51,54) ] ), schreierVector := [ -1, 3, 2, 4, 4, 4, -2, 3, 2, 4, 4, 4, -3, 3, 3, 4, 4, 4, 2, 3, 2, 4, 4, 4, -4, 3, 2, 4, 4, 4, 1, 3, 3, 4, 1, 1, 1, 3, 2, 4, 4, 1, -5, -6, 2, -7, 1, 1, -8, 3, 2, 4, 4, 4 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 1, 43, 49 ], [ 3, 44, 49 ], [ 4, 46, 49 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ], [ 13, 14, 15, 16, 17, 18, 43, 45, 46, 47, 48 ], [ 25, 26, 27, 28, 29, 30, 43, 44, 45, 47, 48 ], [ 7, 13, 19, 25, 31, 37, 50, 51, 52, 53, 54 ] ], representatives := [ 1, 7, 13, 25, 43, 44, 46, 49 ], isSimple := true, autGroup := Group( [ ( 4, 5, 6)(10,11,12)(16,17,18)(22,23,24)(25,31,37)(26,32,38) (27,33,39)(28,35,42)(29,36,40)(30,34,41)(46,47,48)(52,53,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22)(17,24) (18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42)(36,41) (44,45)(47,48)(50,51)(53,54), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18) (19,20,21)(22,23,24)(25,26,27)(28,29,30)(31,32,33)(34,35,36) (37,38,39)(40,41,42)(49,50,51)(52,53,54), ( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,11)( 9,12)(13,16)(14,17)(15,18) (19,22)(20,23)(21,24)(25,28)(26,29)(27,30)(31,40)(32,41)(33,42) (34,37)(35,38)(36,39)(47,48)(49,52)(50,53)(51,54) ] ), canonicalLabelling := ( 1, 7,25,17,26,38, 4,42, 6,21,30,15,31,18,16,12, 19,29,20,40, 3,14,11, 9,13,37)( 2,28,24,22,34,36,23,27,33,41, 5,35,39 )( 8,10)(44,49,53,54,47,50,48)(45,52,51), names := [ (), (1,2,3)(4,5,6), (1,3,2)(4,6,5), (1,4)(2,5,3,6), (1,5)(2,6,3,4), (1,6)(2,4,3,5), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 2, 3)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20)(16,26) (17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41)(43,49) (44,50)(45,51)(46,52)(47,53)(48,54), ( 4, 5, 6)(10,11,12)(16,17,18)(22,23,24)(25,31,37)(26,32,38) (27,33,39)(28,35,42)(29,36,40)(30,34,41)(46,47,48)(52,53,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22)(17,24) (18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42)(36,41) (44,45)(47,48)(50,51)(53,54), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18) (19,20,21)(22,23,24)(25,26,27)(28,29,30)(31,32,33)(34,35,36) (37,38,39)(40,41,42)(49,50,51)(52,53,54), ( 1, 4)( 2, 6)( 3, 5)( 7,10)( 8,12)( 9,11)(13,16)(14,18)(15,17) (19,22)(20,24)(21,23)(25,28)(26,30)(27,29)(31,34)(32,36)(33,35) (37,40)(38,42)(39,41)(49,52)(50,54)(51,53) ] ), schreierVector := [ -1, 4, 1, 5, 2, 5, -2, 4, 3, 5, 2, 5, 1, 4, 4, 5, 2, 5, 3, 4, 3, 5, 2, 5, 1, 4, 3, 5, 4, 5, 2, 4, 3, 5, 2, 5, 1, 4, 4, 5, 4, 5, -3, 1, 3, 1, 2, 1, 1, 4, 3, 5, 2, 5 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 1, 43, 49 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ] ], representatives := [ 1, 7, 43 ], isSimple := true, autGroup := Group( [ ( 2, 3)( 8,13)( 9,19)(10,25)(11,31)(12,37)(15,20)(16,26) (17,32)(18,38)(22,27)(23,33)(24,39)(29,34)(30,40)(36,41)(43,49) (44,50)(45,51)(46,52)(47,53)(48,54), ( 4, 5, 6)(10,11,12)(16,17,18)(22,23,24)(25,31,37)(26,32,38) (27,33,39)(28,35,42)(29,36,40)(30,34,41)(46,47,48)(52,53,54), ( 2, 3)( 5, 6)( 8, 9)(11,12)(13,19)(14,21)(15,20)(16,22)(17,24) (18,23)(26,27)(29,30)(31,37)(32,39)(33,38)(34,40)(35,42)(36,41) (44,45)(47,48)(50,51)(53,54), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18) (19,20,21)(22,23,24)(25,26,27)(28,29,30)(31,32,33)(34,35,36) (37,38,39)(40,41,42)(49,50,51)(52,53,54), ( 1, 4)( 2, 6)( 3, 5)( 7,10)( 8,12)( 9,11)(13,16)(14,18)(15,17) (19,22)(20,24)(21,23)(25,28)(26,30)(27,29)(31,34)(32,36)(33,35) (37,40)(38,42)(39,41)(49,52)(50,54)(51,53) ] ), canonicalLabelling := ( 1, 7,10,11,37)( 2,28,18,34,39, 5,42, 6,14, 9,31, 36,15,13,19,27,38, 4,21,26,23,30,17,29,32,41)( 3,35,20,22,16, 8,25, 33,24,40)(44,49,51,54)(45,52,48,47,53,50), names := [ (), (1,2,3)(4,5,6), (1,3,2)(4,6,5), (1,4)(2,6)(3,5), (1,5)(2,4)(3,6), (1,6)(2,5)(3,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 4, 5, 6)(10,11,12)(16,17,18)(22,23,24)(25,31,37)(26,32,38) (27,33,39)(28,35,42)(29,36,40)(30,34,41)(46,47,48)(52,53,54), ( 4, 6)( 8,19)( 9,13)(10,25)(11,37)(12,31)(14,21)(16,27)(17,39) (18,33)(22,26)(23,38)(24,32)(29,40)(30,34)(35,42)(43,49)(44,51) (45,50)(46,52)(47,54)(48,53), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18) (19,20,21)(22,23,24)(25,26,27)(28,29,30)(31,32,33)(34,35,36) (37,38,39)(40,41,42)(49,50,51)(52,53,54), ( 1, 4)( 2, 5, 3, 6)( 7,10,28,26,14,18,42,39,21,23,35,31) ( 8,16,30,38,15,24,41,33,19,11,34,25)( 9,22,29,32,13,12,40,27,20, 17,36,37)(43,52,46,50,44,54,48,51,45,53,47,49) ] ), schreierVector := [ -1, 3, 3, 4, 4, 2, -2, 3, 3, 4, 1, 1, 2, 3, 3, 4, 1, 1, 2, 3, 3, 4, 1, 1, 2, 3, 2, 4, 3, 4, 1, 3, 1, 4, 1, 4, 2, 4, 2, 4, 1, 1, -3, 4, 2, 2, 4, 2, 2, 3, 3, 4, 1, 1 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 1, 43, 49 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ] ], representatives := [ 1, 7, 43 ], isSimple := true, autGroup := Group( [ ( 4, 5, 6)(10,11,12)(16,17,18)(22,23,24)(25,31,37)(26,32,38) (27,33,39)(28,35,42)(29,36,40)(30,34,41)(46,47,48)(52,53,54), ( 4, 6)( 8,19)( 9,13)(10,25)(11,37)(12,31)(14,21)(16,27)(17,39) (18,33)(22,26)(23,38)(24,32)(29,40)(30,34)(35,42)(43,49)(44,51) (45,50)(46,52)(47,54)(48,53), ( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12)(13,14,15)(16,17,18) (19,20,21)(22,23,24)(25,26,27)(28,29,30)(31,32,33)(34,35,36) (37,38,39)(40,41,42)(49,50,51)(52,53,54), ( 1, 4)( 2, 5, 3, 6)( 7,10,28,26,14,18,42,39,21,23,35,31) ( 8,16,30,38,15,24,41,33,19,11,34,25)( 9,22,29,32,13,12,40,27,20, 17,36,37)(43,52,46,50,44,54,48,51,45,53,47,49) ] ), canonicalLabelling := ( 1, 7,25,18,26,33,41, 5,21,16, 8,10,31,36,20,34, 24,29,23,40, 3,35,32,15,19,30,38, 4,42, 2,28,17,22,27,39, 6,14, 9,12, 11,37)(43,49,50,45,52,48,54,44)(51,53), names := [ (), (1,2,3)(4,5,6), (1,3,2)(4,6,5), (1,4,2,6,3,5), (1,5,2,4,3,6), (1,6,2,5,3,4), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ), rec( isGraph := true, order := 54, group := Group( [ ( 2, 3)( 5, 6)( 8,31)( 9,19)(10,25)(11,13)(12,37)(14,35) (15,23)(16,29)(18,41)(20,33)(22,27)(24,39)(26,34)(30,40)(36,38) (43,49)(44,53)(45,51)(46,52)(47,50)(48,54), ( 1, 2)( 4, 5)( 7, 8)(10,11)(13,20)(14,19)(15,21)(16,23)(17,22) (18,24)(25,26)(28,29)(31,38)(32,37)(33,39)(34,41)(35,40)(36,42) (44,45)(47,48)(49,50)(52,53), ( 1, 2)( 4, 5)( 7,15)( 8,21)(10,33) (11,39)(12,27)(14,19)(16,31)(17,37)(18,25)(22,32)(23,38)(24,26) (28,36)(29,42)(35,40)(43,51)(44,49)(45,50)(46,54)(47,52)(48,53), ( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,11)( 9,12)(13,16)(14,17)(15,18) (19,22)(20,23)(21,24)(25,28)(26,29)(27,30)(31,34)(32,35)(33,36) (37,40)(38,41)(39,42)(49,52)(50,53)(51,54) ] ), schreierVector := [ -1, 2, 1, 4, 4, 4, -2, 2, -3, 4, 4, 4, 1, 2, 3, 3, 4, 4, 1, 4, 3, 4, 1, 4, 1, 2, 3, 4, 1, 4, 1, 3, 3, 4, 1, 4, 1, 2, 3, 4, 1, 4, -4, 3, 1, 1, 1, 1, 1, 2, 3, 4, 4, 4 ], adjacencies := [ [ 7, 14, 21, 28, 35, 42 ], [ 1, 43, 49 ], [ 3, 43, 51 ], [ 7, 8, 9, 10, 11, 12, 44, 45, 46, 47, 48 ] ], representatives := [ 1, 7, 9, 43 ], isSimple := true, autGroup := Group( [ ( 2, 3)( 5, 6)( 8,31)( 9,19)(10,25)(11,13)(12,37)(14,35) (15,23)(16,29)(18,41)(20,33)(22,27)(24,39)(26,34)(30,40)(36,38) (43,49)(44,53)(45,51)(46,52)(47,50)(48,54), ( 1, 2)( 4, 5)( 7, 8)(10,11)(13,20)(14,19)(15,21)(16,23)(17,22) (18,24)(25,26)(28,29)(31,38)(32,37)(33,39)(34,41)(35,40)(36,42) (44,45)(47,48)(49,50)(52,53), ( 1, 2)( 4, 5)( 7,15)( 8,21)(10,33) (11,39)(12,27)(14,19)(16,31)(17,37)(18,25)(22,32)(23,38)(24,26) (28,36)(29,42)(35,40)(43,51)(44,49)(45,50)(46,54)(47,52)(48,53), ( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,11)( 9,12)(13,16)(14,17)(15,18) (19,22)(20,23)(21,24)(25,28)(26,29)(27,30)(31,34)(32,35)(33,36) (37,40)(38,41)(39,42)(49,52)(50,53)(51,54) ] ), canonicalLabelling := ( 1, 9,15,11, 8,27,20,25,13,33,32,22,24,42, 5,38, 6,23,26,34,19,36,37, 3,16,21,29,17,18,28,41)( 2,30,40) ( 4,31,14, 7,12,39)(43,51,48,44)(45,54)(47,52,50), names := [ (), (1,2,3)(4,5,6), (1,3,5)(2,4,6), (1,4)(2,5)(3,6), (1,5,3,4,2,6), (1,6,5,4,3,2), [ 1, 1 ], [ 1, 2 ], [ 1, 3 ], [ 1, 4 ], [ 1, 5 ], [ 1, 6 ], [ 2, 1 ], [ 2, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 5 ], [ 2, 6 ], [ 3, 1 ], [ 3, 2 ], [ 3, 3 ], [ 3, 4 ], [ 3, 5 ], [ 3, 6 ], [ 4, 1 ], [ 4, 2 ], [ 4, 3 ], [ 4, 4 ], [ 4, 5 ], [ 4, 6 ], [ 5, 1 ], [ 5, 2 ], [ 5, 3 ], [ 5, 4 ], [ 5, 5 ], [ 5, 6 ], [ 6, 1 ], [ 6, 2 ], [ 6, 3 ], [ 6, 4 ], [ 6, 5 ], [ 6, 6 ], [ "row", 1 ], [ "row", 2 ], [ "row", 3 ], [ "row", 4 ], [ "row", 5 ], [ "row", 6 ], [ "column", 1 ], [ "column", 2 ], [ "column", 3 ], [ "column", 4 ], [ "column", 5 ], [ "column", 6 ] ] ) ];