C₃×D₃×C₃⋊Dic₉ #14518652

order	1944
isoclinism	isoclinic class of D₃×C₃⋊D₉
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₄ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₃×D₃×C₃⋊Dic₉
unambiguous semidirect product	(C₃×D₃)⋊(C₃×Dic₉)

derived	C₃²×C₉ ⋊ C₂×C₃×C₄
Sylow	C₃³×C₉ ⋊ C₂×C₄

698 conjugacy classes of subgroups; only the 148 normal subgroups are shown.

normal subgroups only

This group has 698 conjugacy classes of subgroups — too many to draw. Only its 148 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3046);