soma:=[ rec( isGraph := true, order := 66, group := Group( [ ( 3, 6)( 4, 5)( 7, 9)( 8,10)(11,12)(13,14)(20,25)(21,31) (22,37)(23,49)(24,43)(27,32)(28,38)(29,50)(30,44)(34,39)(35,51) (36,45)(41,52)(42,46)(47,54)(55,61)(56,62)(57,63)(58,64)(59,66) (60,65), ( 3, 5)( 4, 6)( 7, 9)( 8,10)(11,13)(12,14)(15,17)(16,18) (21,22)(23,24)(27,28)(29,30)(31,37)(32,38)(33,40)(34,39)(35,42) (36,41)(43,49)(44,50)(45,52)(46,51)(47,54)(48,53)(57,58)(59,60) (63,64)(65,66), ( 7, 8)( 9,10)(11,13)(12,14)(15,18)(16,17)(19,26) (21,32)(22,38)(23,44)(24,50)(27,31)(28,37)(29,43)(30,49)(34,39) (35,45)(36,51)(41,46)(42,52)(48,53)(55,62)(56,61)(57,63)(58,64) (59,65)(60,66), ( 1, 4)( 5, 6)( 7,14)( 8,12)( 9,15)(10,18)(19,44) (21,32)(22,50)(23,26)(24,38)(25,47)(27,35)(28,53)(30,41)(31,45) (34,51)(36,39)(37,48)(40,54)(46,49)(55,62)(56,65)(57,63)(58,66) (59,61)(60,64) ] ), schreierVector := [ -1, -2, 2, 4, 1, 2, -3, 3, 1, 3, 1, 4, 1, 4, 4, 2, 2, 4, -4, -5, 2, 4, 4, 2, 1, 3, 2, 1, 2, 1, 2, 2, 2, 4, 2, 2, 1, 4, 4, 4, 4, 1, 2, 4, 2, 4, 4, 4, 1, 2, 2, 1, 4, 1, -6, 3, 2, 4, 4, 2, 1, 3, 2, 4, 4, 1 ], adjacencies := [ [ 19, 26, 34, 39, 48, 53 ], [ 20, 25, 33, 40, 47, 54 ], [ 19, 27, 36, 38, 47, 52 ], [ 1, 7, 9, 55, 61 ], [ 2, 11, 13, 55, 62 ], [ 19, 20, 21, 22, 23, 24, 56, 57, 58, 59, 60 ] ], representatives := [ 1, 2, 7, 19, 20, 55 ], isSimple := true, autGroup := Group( [ ( 3, 6)( 4, 5)( 7, 9)( 8,10)(11,12)(13,14)(20,25)(21,31) (22,37)(23,49)(24,43)(27,32)(28,38)(29,50)(30,44)(34,39)(35,51) (36,45)(41,52)(42,46)(47,54)(55,61)(56,62)(57,63)(58,64)(59,66) (60,65), ( 3, 5)( 4, 6)( 7, 9)( 8,10)(11,13)(12,14)(15,17)(16,18) (21,22)(23,24)(27,28)(29,30)(31,37)(32,38)(33,40)(34,39)(35,42) (36,41)(43,49)(44,50)(45,52)(46,51)(47,54)(48,53)(57,58)(59,60) (63,64)(65,66), ( 7, 8)( 9,10)(11,13)(12,14)(15,18)(16,17)(19,26) (21,32)(22,38)(23,44)(24,50)(27,31)(28,37)(29,43)(30,49)(34,39) (35,45)(36,51)(41,46)(42,52)(48,53)(55,62)(56,61)(57,63)(58,64) (59,65)(60,66), ( 1, 4)( 5, 6)( 7,14)( 8,12)( 9,15)(10,18)(19,44) (21,32)(22,50)(23,26)(24,38)(25,47)(27,35)(28,53)(30,41)(31,45) (34,51)(36,39)(37,48)(40,54)(46,49)(55,62)(56,65)(57,63)(58,66) (59,61)(60,64) ] ), names := [ (3,4)(5,6), (1,2), (1,3,2,5)(4,6), (1,5,2,4)(3,6), (1,4,2,6)(3,5), (1,6,2,3)(4,5), (2,3,6,4), (1,4,6,3), (2,4,5,3), (1,3,5,4), (1,2,5,4,3,6), (1,5,3,4,6,2), (1,2,6,3,4,5), (1,6,4,3,5,2), (1,3)(2,6,5), (1,6,5)(2,4), (1,4)(2,5,6), (1,5,6)(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 := 66, group := Group( [ ( 2, 4)( 3, 6)( 7, 9)( 8,16)(10,17)(11,12)(13,15)(14,18) (20,21)(22,24)(25,31)(26,33)(27,32)(28,36)(29,35)(30,34)(37,43) (38,45)(39,44)(40,48)(41,47)(42,46)(50,51)(52,54)(56,57)(58,59) (62,63)(64,66), ( 1, 2, 6, 3, 4)( 7,11,16,17,15)( 8,12, 9,13,10) (19,20,24,22,21)(25,32,48,52,39)(26,36,46,51,37)(27,31,44,54,40) (28,33,43,50,42)(29,35,47,53,41)(30,34,45,49,38)(56,57,59,60,58) (61,62,66,64,63), ( 1, 3, 4)( 2, 5, 6)( 7,12,10)( 8,11,15) ( 9,14,13)(16,18,17)(19,25,37)(20,30,39)(21,26,42)(22,28,40) (23,29,41)(24,27,38)(31,43,49)(32,48,51)(33,44,54)(34,46,52) (35,47,53)(36,45,50)(55,56,58)(57,59,60)(62,66,63) ] ), schreierVector := [ -1, 2, 3, 1, 3, 2, -2, 1, 1, 3, 2, 3, 2, 3, 3, 2, 2, 1, -3, 2, 1, 1, -4, 2, 3, 3, 3, 3, 3, 3, 1, 2, 1, 1, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 2, 3, 2, 2, 3, 2, 3, 2, 2, 2, -5, 3, 1, 3, 2, 2, -6, 2, 1, 1, -7, 2 ], adjacencies := [ [ 19, 26, 33, 40, 48, 53 ], [ 19, 27, 34, 42, 47, 50 ], [ 1, 7, 9, 55, 61 ], [ 5, 14, 18, 55, 65 ], [ 19, 20, 21, 22, 23, 24, 56, 57, 58, 59, 60 ], [ 19, 25, 31, 37, 43, 49, 62, 63, 64, 65, 66 ], [ 23, 29, 35, 41, 47, 53, 61, 62, 63, 64, 66 ] ], representatives := [ 1, 7, 19, 23, 55, 61, 65 ], isSimple := true, autGroup := Group( [ ( 2, 4)( 3, 6)( 7, 9)( 8,16)(10,17)(11,12)(13,15)(14,18) (20,21)(22,24)(25,31)(26,33)(27,32)(28,36)(29,35)(30,34)(37,43) (38,45)(39,44)(40,48)(41,47)(42,46)(50,51)(52,54)(56,57)(58,59) (62,63)(64,66), ( 1, 2, 6, 3, 4)( 7,11,16,17,15)( 8,12, 9,13,10) (19,20,24,22,21)(25,32,48,52,39)(26,36,46,51,37)(27,31,44,54,40) (28,33,43,50,42)(29,35,47,53,41)(30,34,45,49,38)(56,57,59,60,58) (61,62,66,64,63), ( 1, 3, 4)( 2, 5, 6)( 7,12,10)( 8,11,15) ( 9,14,13)(16,18,17)(19,25,37)(20,30,39)(21,26,42)(22,28,40) (23,29,41)(24,27,38)(31,43,49)(32,48,51)(33,44,54)(34,46,52) (35,47,53)(36,45,50)(55,56,58)(57,59,60)(62,66,63) ] ), names := [ (5,6), (1,2,3,6,4,5), (1,4,6,3,5,2), (1,3,2,4), (1,5,3,4,2,6), (1,6,2,5,4,3), (2,3,4,6), (1,4,3,6), (2,6,3)(4,5), (1,6,4)(3,5), (1,2,4,6,5,3), (1,3,6,5,4,2), (1,2,5,6,3,4), (1,5,6,4,3,2), (1,3,5)(2,6), (1,6)(2,4,5), (1,4,2,5), (1,5,2,3), [ 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 := 66, group := Group( [ ( 1, 4)( 3,14)( 6,18)( 7,12)( 8,11)( 9,15)(10,16)(13,17) (20,24)(21,22)(25,43)(26,48)(27,46)(28,45)(29,47)(30,44)(32,36) (33,34)(37,49)(38,54)(39,52)(40,51)(41,53)(42,50)(56,59)(58,60) (62,66)(63,64), ( 1,10,11)( 2, 6,18)( 3,17, 7)( 4, 8,16)( 5,15, 9) (12,13,14)(19,20,24)(21,23,22)(25,26,30)(27,29,28)(31,50,42) (32,54,37)(33,53,40)(34,51,41)(35,52,39)(36,49,38)(43,44,48) (45,47,46)(57,60,58)(61,62,66)(63,65,64), ( 1, 3,10, 2, 9, 7,15,13)( 4,12, 5,18,16, 6,11,14)( 8,17) (19,21,51,50,44,47,41,37)(20,45,53,38,43,23,39,49)(22,33,54,26,46, 35,42,25)(24,27,52,32,48,29,40,31)(28,34,36,30)(55,63,60,62,59, 65,58,61)(56,64,57,66) ] ), schreierVector := [ -1, 3, 3, 1, 3, 3, 1, 2, 3, 2, 2, 3, 2, 1, 3, 1, 2, 3, -2, 2, 3, 1, 2, 1, 3, 3, 3, 1, 2, 1, 3, 3, 3, 3, 2, 3, 3, 3, 3, 1, 2, 1, 3, 3, 3, 1, 2, 2, 3, 3, 3, 3, 3, 3, -3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 2, 3 ], adjacencies := [ [ 19, 26, 34, 39, 47, 54 ], [ 1, 2, 4, 55, 61 ], [ 19, 20, 21, 22, 23, 24, 56, 57, 58, 59, 60 ] ], representatives := [ 1, 19, 55 ], isSimple := true, autGroup := Group( [ ( 1, 4)( 3,14)( 6,18)( 7,12)( 8,11)( 9,15)(10,16)(13,17) (20,24)(21,22)(25,43)(26,48)(27,46)(28,45)(29,47)(30,44)(32,36) (33,34)(37,49)(38,54)(39,52)(40,51)(41,53)(42,50)(56,59)(58,60) (62,66)(63,64), ( 1,10,11)( 2, 6,18)( 3,17, 7)( 4, 8,16)( 5,15, 9) (12,13,14)(19,20,24)(21,23,22)(25,26,30)(27,29,28)(31,50,42) (32,54,37)(33,53,40)(34,51,41)(35,52,39)(36,49,38)(43,44,48) (45,47,46)(57,60,58)(61,62,66)(63,65,64), ( 1, 3,10, 2, 9, 7,15,13)( 4,12, 5,18,16, 6,11,14)( 8,17) (19,21,51,50,44,47,41,37)(20,45,53,38,43,23,39,49)(22,33,54,26,46, 35,42,25)(24,27,52,32,48,29,40,31)(28,34,36,30)(55,63,60,62,59, 65,58,61)(56,64,57,66) ] ), names := [ (3,4), (2,4,6)(3,5), (1,3,6)(4,5), (2,5,6,4), (1,5,6,3), (1,2,3)(4,6), (1,4,2)(3,6), (1,2,4,3,6,5), (1,3,4,6,5,2), (1,2,6,3,5,4), (1,6,4,5,3,2), (1,3,2,5), (1,5,2,4), (1,4)(2,3)(5,6), (1,4,5)(2,6), (1,6)(2,3,5), (1,5,3,4,2,6), (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 := 66, group := Group( [ ( 1, 4)( 3, 6)( 5,12)( 8,15)( 9,11)(10,13)(14,16)(17,18) (20,22)(23,24)(26,28)(29,30)(31,49)(32,52)(33,51)(34,50)(35,54) (36,53)(37,43)(38,46)(39,45)(40,44)(41,48)(42,47)(57,60)(58,59) (62,64)(65,66), ( 1,10,11)( 2, 6,18)( 3,17, 7)( 4, 8,16)( 5,15, 9) (12,13,14)(19,20,24)(21,22,23)(25,26,30)(27,28,29)(31,38,48) (32,42,43)(33,40,47)(34,41,45)(35,39,46)(36,37,44)(49,50,54) (51,52,53)(57,58,59)(61,62,66)(63,64,65), ( 1,11)( 2, 7)( 3,18)( 4, 9)( 5,16)( 6,17)( 8,15)(12,14)(19,25) (20,30)(21,27)(22,29)(23,28)(24,26)(32,36)(34,35)(37,43)(38,48) (39,45)(40,47)(41,46)(42,44)(50,54)(52,53)(55,56)(58,59)(62,66) (64,65) ] ), schreierVector := [ -1, -2, 1, 1, 2, 2, 3, 2, 3, 2, 3, 1, 1, 2, 1, 2, 3, 2, -3, 2, 2, 1, 2, 2, 3, 2, 2, 1, 3, 3, -4, -5, 2, 1, 2, 3, 2, 2, 2, 3, 3, 2, 2, 3, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, -6, 3, -7, 2, 1, 1, -8, 2, 2, 1, 2, 2 ], adjacencies := [ [ 19, 26, 33, 40, 48, 53 ], [ 19, 27, 35, 38, 46, 54 ], [ 1, 2, 4, 55, 61 ], [ 3, 10, 18, 57, 61 ], [ 9, 12, 15, 57, 62 ], [ 19, 20, 21, 22, 23, 24, 56, 57, 58, 59, 60 ], [ 31, 32, 33, 34, 35, 36, 55, 56, 58, 59, 60 ], [ 19, 25, 31, 37, 43, 49, 62, 63, 64, 65, 66 ] ], representatives := [ 1, 2, 19, 31, 32, 55, 57, 61 ], isSimple := true, autGroup := Group( [ ( 1, 4)( 3, 6)( 5,12)( 8,15)( 9,11)(10,13)(14,16)(17,18) (20,22)(23,24)(26,28)(29,30)(31,49)(32,52)(33,51)(34,50)(35,54) (36,53)(37,43)(38,46)(39,45)(40,44)(41,48)(42,47)(57,60)(58,59) (62,64)(65,66), ( 1,10,11)( 2, 6,18)( 3,17, 7)( 4, 8,16)( 5,15, 9) (12,13,14)(19,20,24)(21,22,23)(25,26,30)(27,28,29)(31,38,48) (32,42,43)(33,40,47)(34,41,45)(35,39,46)(36,37,44)(49,50,54) (51,52,53)(57,58,59)(61,62,66)(63,64,65), ( 1,11)( 2, 7)( 3,18)( 4, 9)( 5,16)( 6,17)( 8,15)(12,14)(19,25) (20,30)(21,27)(22,29)(23,28)(24,26)(32,36)(34,35)(37,43)(38,48) (39,45)(40,47)(41,46)(42,44)(50,54)(52,53)(55,56)(58,59)(62,66) (64,65) ] ), names := [ (5,6), (2,3,5,4), (1,4,5,3), (2,4,5)(3,6), (1,3,5)(4,6), (1,2,4,3,5,6), (1,3,4,5,6,2), (1,2,5,3,6,4), (1,5,4,6,3,2), (1,2,6,3), (1,6,4,2), (1,3,2,4), (1,4,6)(2,5), (1,5)(2,3,6), (1,4,3,2,6,5), (1,6,5,2,3,4), (1,5,3,4,2,6), (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 ] ] ) ];