Order = 76532479683774853939200 = 236.39.52.72.11.13.17.19.
Mult = 22 × 3.
Out = S3.


Porting notes

Porting incomplete.

Standard generators

Standard generators of 2E6(2) are a, b where a is in class 2B, b is in class 3C, ab has order 19 and abababb has order 33.

Standard generators of 2.2E6(2) are preimages A, B where B has order 3, AB has order 19 and ABABABB has order 33.

Standard generators of 3.2E6(2) are preimages A, B where A has order 2 and AB has order 19.

Standard generators of 2E6(2):2 are e, f where e is in class 2D, f is in class 8R, ef has order 19 and efeff has order 30.

Standard generators of 3.2E6(2):2 are preimages E, F where EF has order 19.

Standard generators of 2.2E6(2):2 are preimages E, F where EF has order 19.

Non-standard generators of 2E6(2):3 are c, d.

Non-standard generators of 3.2E6(2).3 are C', D'.

Non-standard generators of 2E6(2):S3 are g, h.

Non-standard generators of 3.2E6(2):S3 are G', H'.


Representations

Representations of 2E6(2)

Representations of 2.2E6(2)

Representations of 3.2E6(2)

Representations of 2E6(2):2

Representations of 3.2E6(2):2

Representations of 2.2E6(2):2

Representations of 22.2E6(2)

Representations of 2E6(2):3

Representations of 3.2E6(2).3

Representations of 2E6(2):S3

Representations of 3.2E6(2):S3