C₃×C₁₉×C₂₁₁⋊C₃ #49115296

order	36081
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₉×C₂₁₁⋊C₃
unambiguous semidirect product	C₂₁₁⋊(C₃²×C₁₉)
unambiguous semidirect product	(C₃×C₂₁₁)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	C₂₁₁⋊C₃
commutator, cosocle, hypocenter	C₂₁₁	C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₂₁₁	C₃
LCS	G ▷ C₂₁₁
UCS	C₁ ◁ C₃×C₁₉

24 conjugacy classes of subgroups.

μ_t(G) = 12027

4161 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36081, 11);