C₄×#19151595 #36552180

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

Fitting	C₂²×C₄×C₈×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₄×#416

1670 conjugacy classes of subgroups.

μ_t(G) = 11392

5744 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 167320);