D₄×#15667940 #36570103

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

Fitting	C₄²×D₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ D₄×#104

1608 conjugacy classes of subgroups.

μ_t(G) = 2848

3590 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 185243);