ATLAS: Unitary group U3(8)

Order = 5515776.
Mult = 3.
Out = 3 x S3.

Standard generators

Standard generators of U3(8) are a and b where a has order 2, b has order 3 (necessarily in class 3C), ab has order 19.
Standard generators of U3(8):6 are g and h where g is in class 2, h is in class 3, and gh is in class 18.

Standard generators for U3(8) may be obtained from those of U3(8):6 as (ghghghhgh)6, (gh)6.


The representations of U3(8) available are The representations of U3(8):6 available are

Maximal subgroups

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