C₃×C₄⋊((C₃⋊D₃)⋊C₉) #14517284

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₉ · Schur multiplier (H₂) = C₂×C₃²

Aliases

direct product	C₃×C₄⋊((C₃⋊D₃)⋊C₉)
unambiguous semidirect product	C₄⋊(C₃×(C₃⋊D₃)⋊C₉)
unambiguous semidirect product	(C₃×C₄⋊(C₃⋊D₃))⋊C₉

Fitting	C₃×C₄×C₃²⋊C₉ ⋊ C₂
Sylow	C₃×C₃²⋊C₉ ⋊ D₄

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

normal subgroups only

This group has 450 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) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 1678);