C₂×C₃×C₉×C₃⋊Dic₃ #14518947

order	1944
isoclinism	isoclinic class of C₃⋊D₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₄×C₉ · Schur multiplier (H₂) = C₂×C₃²

Aliases

direct product	C₂×C₃×C₉×C₃⋊Dic₃
unambiguous semidirect product	(C₂×C₃)⋊(C₃×C₉×Dic₃)

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

1320 conjugacy classes of subgroups; only the 330 normal subgroups are shown.

normal subgroups only

This group has 1320 conjugacy classes of subgroups — too many to draw. Only its 330 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 3341);