C₂×C₄×C₈×D₉ #11857094

order	1152
isoclinism	isoclinic class of D₉
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₈ · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₂×C₄×C₈×D₉

Fitting	C₂×C₄×C₈×C₉ ⋊ C₂
derived, Sylow	C₉ ⋊ C₂²×C₄×C₈

1140 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 91105);