C₃×C₃⋊((C₃⋊(C₃⋊C₈))⋊C₃) #14517868

order	1944
isoclinism	isoclinic class of C₃⋊((C₃⋊D₃)⋊C₃)
automorphism	?
homology	Abelianization (H₁) = C₃²×C₈ · Schur multiplier (H₂) = C₃³

Aliases

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

derived	C₃³ ⋊ C₃²×C₈
Sylow	C₃²×H(3,𝔽₃) ⋊ C₈

855 conjugacy classes of subgroups; only the 138 normal subgroups are shown.

normal subgroups only

This group has 855 conjugacy classes of subgroups — too many to draw. Only its 138 normal subgroups are shown.

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

μ_t(G) = 216

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2262);