Order = 24815256521932800 = 225.36.52.7.11.17.31.
Mult = 1.
Out = 1.


Porting notes

Porting incomplete.

Standard generators

Standard generators of S10(2) are a, b where a is in class 2A (the class of transvections in the natural 10-dimensional representation), b has order 11 and ab has order 15.


Presentations

Group Presentation Link
S10(2) a, b | a2 = b11 = (ab)15 = (ab5)18 = [a, b]3 = [a, b2]2 = [a, b3]2 = [a, b4]2 = [a, b5]3 = [a, (ab)5]2 = 1 〉 Details

Representations

Representations of S10(2)