C₂×D₃×C₄²⋊C₉ #13147194

order	1728
isoclinism	isoclinic class of D₃×C₄²⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₉ · Schur multiplier (H₂) = C₂×C₄

Aliases

direct product	C₂×D₃×C₄²⋊C₉
unambiguous semidirect product	C₃⋊(C₂²×C₄²⋊C₉)
unambiguous semidirect product	(C₂×C₃)⋊(C₂×C₄²⋊C₉)
unambiguous semidirect product	(C₂×C₄²×D₃)⋊C₉

C₃×C₄² ⋊ C₂²×C₉

430 conjugacy classes of subgroups; only the 49 normal subgroups are shown.

normal subgroups only

This group has 430 conjugacy classes of subgroups — too many to draw. Only its 49 normal subgroups are shown.

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

μ_t(G) = 72

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 13257);