C₂×D₄⋊C₈×D₈₉ #36520768

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁷

Aliases

C₂×D₄⋊C₈×D₈₉

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

1886 conjugacy classes of subgroups.

μ_t(G) = 5696

2576 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 135908);