Q₈×#15667928 #36570987

order	22784
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁵

Aliases

Fitting	Q₈×M₁₆×C₈₉ ⋊ C₂
Sylow	C₈₉ ⋊ Q₈×#100

1198 conjugacy classes of subgroups.

μ_t(G) = 5696

2255 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22784, 186127);