C₄⋊Q₈×C₂²⋊C₉ #11919713

order	1152
automorphism	?
homology	Abelianization (H₁) = C₂³×C₉ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₄⋊Q₈×C₂²⋊C₉
unambiguous semidirect product	C₄⋊(Q₈×C₂²⋊C₉)
unambiguous semidirect product	(C₂²×C₄⋊Q₈)⋊C₉

700 conjugacy classes of subgroups; only the 130 normal subgroups are shown.

normal subgroups only

This group has 700 conjugacy classes of subgroups — too many to draw. Only its 130 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

μ_t(G) = 288

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 153724);