C₂²×D₃×C₂₇⋊C₃ #14518476

order	1944
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₉ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₂²×D₃×C₂₇⋊C₃
unambiguous semidirect product	C₃⋊(C₂³×C₂₇⋊C₃)
unambiguous semidirect product	(C₂×C₃)⋊(C₂²×C₂₇⋊C₃)

Fitting	C₂²×C₃×C₂₇⋊C₃ ⋊ C₂
Sylow	C₃×C₂₇⋊C₃ ⋊ C₂³

474 conjugacy classes of subgroups; only the 231 normal subgroups are shown.

normal subgroups only

This group has 474 conjugacy classes of subgroups — too many to draw. Only its 231 normal subgroups are shown.

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

μ_t(G) = 216

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2870);