C₃×D₃×C₉×A₄ #14519234

order	1944
isoclinism	isoclinic class of D₃×A₄
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₉ · Schur multiplier (H₂) = C₂×C₃³

Aliases

direct product	C₃×D₃×C₉×A₄
unambiguous semidirect product	C₃⋊(C₂×C₃×C₉×A₄)

Fitting	C₂²×C₃²×C₉ ⋊ C₂×C₃
derived	C₂²×C₃ ⋊ C₂×C₃²×C₉

791 conjugacy classes of subgroups; only the 180 normal subgroups are shown.

normal subgroups only

This group has 791 conjugacy classes of subgroups — too many to draw. Only its 180 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3628);