C₄×#19151499 #36475617

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄²

Aliases

Fitting	C₂×C₄×C₄⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₄×#390

2894 conjugacy classes of subgroups.

μ_t(G) = 11392

3632 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 90757);