C₂²⋊C₈×C₂²⋊D₈₉ #36569672

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂²×C₂²⋊C₈×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ D₄×C₂²⋊C₈

2012 conjugacy classes of subgroups.

μ_t(G) = 5696

3620 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 184812);