Order = 10151968619520 = 210.312.5.7.13.41.
Mult = 2.
Out = 2 × 2.


Porting notes

Porting incomplete.

Standard generators

Standard generators of O8(3) are a, b where a is in class 2A, b is in class 4F, ab has order 41, abb has order 6 and ababb has order 41.

Standard generators of 2.O8(3) are preimages A, B where AB has order 41 and ABABB has order 41.

Standard generators of O8(3):21 are c, d where c is in class 2D/E, d is in class 8F, cd has order 41, cdd has order 12 and cdcdd has order 18.

Standard generators of 2.O8(3):21 are preimages C, D where C has order 2 and CD has order 41.

Type I standard generators of O8(3).23 are g, h where g is in class 3A, h is in class 8VW, gh has order 56 and ghh has order 36.

Type II standard generators of O8(3).23 are g, h where g is in class 2A, h is in class 8XY, gh has order 24, ghh has order 7, ghhh has order 56 and ghhhh has order 3.

Standard generators of O8(3).22 are i, j where i is in class 2DE, j is in class 8B1, ij has order 82 and ijj has order 8.


Representations

Representations of O8(3)

Representations of 2.O8(3)

Representations of O8(3):21

Representations of 2.O8(3):21

Representations of O8(3).23

Representations of O8(3).22

Representations of O8(3).D8