C₃×C₁₁×C₁₉×C₁₉⋊C₃ #49088323

order	35739
automorphism	?
homology	Abelianization (H₁) = C₃²×C₁₁×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₁₁×C₁₉×C₁₉⋊C₃
unambiguous semidirect product	C₁₉⋊(C₃²×C₁₁×C₁₉)
unambiguous semidirect product	(C₃×C₁₉)⋊(C₃×C₁₁×C₁₉)
unambiguous semidirect product	(C₁₁×C₁₉)⋊(C₃²×C₁₉)
unambiguous semidirect product	(C₃×C₁₁×C₁₉)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₁×C₁₉	C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₉	C₃²×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₉²	C₃
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₃×C₁₁×C₁₉

72 conjugacy classes of subgroups.

μ_t(G) = 1881

5643 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35739, 19);