C₈×(C₂×D₉)⋊C₄ #11783632

order	1152
isoclinism	isoclinic class of Dic₁₈
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₈ · Schur multiplier (H₂) = C₂³×C₄

Aliases

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

576 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 17643);