Sporadic Janko group J3


Order = 50 232 960 = 27.35.5.17.19.
Mult = 3.
Out = 2.

Robert Wilson's ATLAS page for the Janko group J3 is available here.

J3: Length ??, ?-generator, ?-relator.


J3:2: Length 134, 4-generator, 11-relator.

< a, b, c, d | a17 = b8 = aba-2 = c2 = bcb3 = (abc)4 = (ac)17 = d2 = [d, a] = [d, b] = (a3b-3cd)5 = 1 >

Remark: This is the progenitor 2*120:(L2(16):4) factored by a single relation (namely (a3b-3cd)5 = 1). We have that N = < a, b, c > = L2(16):4 of index 6156 is the control subgroup.


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- Last updated 16th July, 1997
- John N. Bray