C₂×C₄×C₄⋊C₄×D₈₉ #36712604

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄² · Schur multiplier (H₂) = C₂⁹×C₄

Aliases

C₂×C₄×C₄⋊C₄×D₈₉

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

5758 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, 327744);