D₈×C₂²⋊Dic₈₉ #36570252

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁷

Aliases

C₈₉ ⋊ C₂²⋊C₄×D₈

1830 conjugacy classes of subgroups.

μ_t(G) = 5696

2534 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 185392);