Order = 181440 = 26.34.5.7.
Mult = 2.
Out = 2.

Porting notes

Porting incomplete.

Standard generators

Standard generators of A9 are a, b where a is in class 3A, b has order 7 and ab has order 9.

Standard generators of 2.A9 are preimages A, B where A has order 3 and B has order 7.

Standard generators of S9 are c, d where c is in class 2C, d has order 8 and cd has order 9.

Black box algorithms

Checking generators (semi-presentations)

Group Semi-presentation File
A9 〈〈 a, b | o(a) = 3, o(b) = 7, o(ab) = 9, o(t) = 15, o(a(t5)ab6) = 2; t = a2b2ab 〉〉 Download

Representations

Representations of A9

Representations of 2.A9

Representations of S9