C₃×C₃⋊(3₋¹⁺²⋊C₈) #14517871

order	1944
isoclinism	isoclinic class of C₃⋊AGL(1,ℤ/9)
automorphism	?
homology	Abelianization (H₁) = C₃²×C₈ · Schur multiplier (H₂) = C₃²

Aliases

direct product	C₃×C₃⋊(3₋¹⁺²⋊C₈)
unambiguous semidirect product	C₃⋊(C₃×3₋¹⁺²⋊C₈)

derived	C₃×C₉ ⋊ C₃²×C₈
Sylow	C₃²×3₋¹⁺² ⋊ C₈

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

normal subgroups only

This group has 582 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, 2265);