Order = 74412 =
Mult = 2.
Out = 2.

Porting notes

Porting incomplete.

Standard generators

Standard generators of L2(53) are a, b where a has order 2, b has order 3 and ab has order 53.

Standard generators of 2.L2(53) are preimages A, B where B has order 3 and AB has order 53.


Representations of L2(53)

Representations of 2.L2(53)

Maximal subgroups

Maximal subgroups of L2(53)

Subgroup Order Index Programs/reps
53:26 Program: Generators
D54 Program: Generators
D52 Program: Generators
A4 Program: Generators