C₂×C₉×C₁₁⋊C₈ #13096872

order	1584
isoclinism	isoclinic class of D₁₁
automorphism	?
homology	Abelianization (H₁) = C₂×C₈×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₉×C₁₁⋊C₈
unambiguous semidirect product	(C₂×C₁₁)⋊(C₈×C₉)

derived, Sylow	C₁₁ ⋊ C₂×C₈×C₉
Hall	C₉×C₁₁ ⋊ C₂×C₈

66 conjugacy classes of subgroups.

μ_t(G) = 1584

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1584, 36);