D₃×C₁₁×C₁₉×C₂₉ #49138307

order	36366
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₁×C₁₉×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₁₁×C₁₉×C₂₉
unambiguous semidirect product	C₃⋊(C₂×C₁₁×C₁₉×C₂₉)

	subgroup	G/H
center, hypercenter	C₁₁×C₁₉×C₂₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₁₁×C₁₉×C₂₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₉×C₂₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₁₁×C₁₉×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 18183

18183 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36366, 10);