D₄×C₄⋊C₄×D₈₉ #36713708

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

Aliases

D₄×C₄⋊C₄×D₈₉

Fitting	D₄×C₄⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂×D₄×C₄⋊C₄

4718 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, 328848);