C₄⋊C₄×#13083561 #36572832

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

Fitting	Q₈×C₄⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₄⋊C₄×SD₁₆

1030 conjugacy classes of subgroups.

μ_t(G) = 11392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 187972);