C₂²×D₂₇₇⋊C₈ #31801073

order	17728
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

direct product	C₂²×D₂₇₇⋊C₈
unambiguous semidirect product	D₂₇₇⋊(C₂²×C₈)

C₂₇₇ ⋊ C₂³×C₈

338 conjugacy classes of subgroups.

μ_t(G) = 8864

1168 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(17728, 1620);