Order = 1814400 = 27.34.52.7.
Mult = 2.
Out = 2.

Porting notes

Porting incomplete.

Standard generators

Standard generators of A10 are a, b where a is in class 3A, b has order 9, ab has order 8 and abb has order 12.

Standard generators of 2.A10 are preimages A, B where A has order 3 and B has order 9.

Standard generators of S10 = A10.2 are c, d where c is in class 2C, d has order 9 and cd has order 10.

Standard generators of 2.S10 are preimages C, D where D has order 9.

Black box algorithms

Checking generators (semi-presentations)

Group Semi-presentation File
A10 〈〈 a, b | some conditions 〉〉 Download

Representations

Representations of A10

Representations of 2.A10

Representations of S10