C₂×C₂²⋊C₄×C₂²⋊D₈₉ #36713599

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹¹

Aliases

Fitting	C₂³×C₂²⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂×D₄×C₂²⋊C₄

8774 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, 328739);