C₃×(C₃⋊(C₃⋊C₈))⋊C₉ #14516281

order	1944
isoclinism	isoclinic class of (C₃⋊D₃)⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₃×C₈×C₉ · Schur multiplier (H₂) = C₃²

Aliases

direct product	C₃×(C₃⋊(C₃⋊C₈))⋊C₉
unambiguous semidirect product	(C₃×C₃⋊(C₃⋊C₈))⋊C₉

derived	C₃² ⋊ C₃×C₈×C₉
Sylow	C₃×C₃²⋊C₉ ⋊ C₈

306 conjugacy classes of subgroups; only the 88 normal subgroups are shown.

normal subgroups only

This group has 306 conjugacy classes of subgroups — too many to draw. Only its 88 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 675);