C₂×D₄×Q₈⋊C₉ #11919717

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

Aliases

direct product	C₂×D₄×Q₈⋊C₉
unambiguous semidirect product	C₄⋊(C₂²×Q₈⋊C₉)
unambiguous semidirect product	(C₂×D₄×Q₈)⋊C₉

C₂×D₄×Q₈ ⋊ C₉

861 conjugacy classes of subgroups; only the 213 normal subgroups are shown.

normal subgroups only

This group has 861 conjugacy classes of subgroups — too many to draw. Only its 213 normal subgroups are shown.

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

μ_t(G) = 576

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 153728);