C₂²×C₃²×D₃×C₉ #14519353

order	1944
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃²×C₉ · Schur multiplier (H₂) = C₂³×C₃³

Aliases

direct product	C₂²×C₃²×D₃×C₉
unambiguous semidirect product	C₃⋊(C₂³×C₃²×C₉)
unambiguous semidirect product	(C₂×C₃)⋊(C₂²×C₃²×C₉)

2340 conjugacy classes of subgroups; only the 1050 normal subgroups are shown.

normal subgroups only

This group has 2340 conjugacy classes of subgroups — too many to draw. Only its 1050 normal subgroups are shown.

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

μ_t(G) = 648

972 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3747);