C₃×C₁₉×D₁₁×C₂₉ #49138303

order	36366
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₉×D₁₁×C₂₉
unambiguous semidirect product	C₁₁⋊(C₂×C₃×C₁₉×C₂₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉×C₂₉	D₁₁
commutator, cosocle, hypocenter	C₁₁	C₂×C₃×C₁₉×C₂₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₉×C₂₉	C₂
LCS	G ▷ C₁₁
UCS	C₁ ◁ C₃×C₁₉×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 18183

11571 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36366, 6);