D₄×#15667932 #36569828

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	D₄×C₄⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ D₄×#102

2014 conjugacy classes of subgroups.

μ_t(G) = 5696

2270 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 184968);