C₃×#611⋊C₉ #14517412

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

direct product	C₃×#611⋊C₉
unambiguous semidirect product	(C₃×#611)⋊C₉

Fitting	C₂²×C₃×C₉⋊C₉ ⋊ C₂
Sylow	C₃×C₉⋊C₉ ⋊ D₄

390 conjugacy classes of subgroups; only the 108 normal subgroups are shown.

normal subgroups only

This group has 390 conjugacy classes of subgroups — too many to draw. Only its 108 normal subgroups are shown.

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

μ_t(G) = 108

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

maximal subgroup of	C₃×#14517439, D₃×#611⋊C₉
maximal normal subgroup of	C₃×#14517439, D₃×#611⋊C₉

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1806);