C₄×#19151661 #36552736

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

Fitting	C₄×C₂²⋊C₈×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₄×C₈×D₄

1422 conjugacy classes of subgroups.

μ_t(G) = 11392

3680 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 167876);