C₄⋊C₄×D₇₁₂ #36572823

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

Aliases

C₄⋊C₄×D₇₁₂

Fitting	C₈×C₄⋊C₄×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₄⋊C₄×D₈

1134 conjugacy classes of subgroups.

μ_t(G) = 11392

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 187963);