C₂×C₄⋊C₁₆×D₈₉ #36707401

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₆ · Schur multiplier (H₂) = C₂⁶

Aliases

C₂×C₄⋊C₁₆×D₈₉

Fitting	C₂×C₄⋊C₁₆×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ C₂²×C₄⋊C₁₆

862 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, 322541);