C₂²×D₄×C₂²⋊C₉ #11919863

order	1152
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₉ · Schur multiplier (H₂) = C₂⁷

Aliases

direct product	C₂²×D₄×C₂²⋊C₉
unambiguous semidirect product	C₄⋊(C₂³×C₂²⋊C₉)

C₂⁴×D₄ ⋊ C₉

4068 conjugacy classes of subgroups; only the 390 normal subgroups are shown.

normal subgroups only

This group has 4068 conjugacy classes of subgroups — too many to draw. Only its 390 normal subgroups are shown.

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

μ_t(G) = 144

maximal subgroup of	C₂²×D₄×#1094, D₄×(C₂²⋊A₄)⋊C₉, D₄×#88881
maximal normal subgroup of	C₂²×D₄×#1094, D₄×(C₂²⋊A₄)⋊C₉, D₄×#88881

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1152, 153874);