D₃×D₄×C₂²⋊C₉ #13164611

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂³×C₉ · Schur multiplier (H₂) = C₂⁴

Aliases

direct product	D₃×D₄×C₂²⋊C₉
unambiguous semidirect product	(C₂²×D₃×D₄)⋊C₉

1226 conjugacy classes of subgroups; only the 125 normal subgroups are shown.

normal subgroups only

This group has 1226 conjugacy classes of subgroups — too many to draw. Only its 125 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, 30674);