Q₈×C₂²⋊C₄×D₈₉ #36713613

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

Q₈×C₂²⋊C₄×D₈₉

Fitting	Q₈×C₂²⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂×Q₈×C₂²⋊C₄

5414 conjugacy classes of subgroups.

μ_t(G) = 5696

2300 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 328753);