C₂²⋊C₄×#13083551 #36475828

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁷×C₄

Aliases

Fitting	C₂×C₄×C₂²⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂²⋊C₄²

4254 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, 90968);