C₁₁×C₁₉×D₈₇ #49138308

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

Aliases

direct product	C₁₁×C₁₉×D₈₇
unambiguous semidirect product	C₃⋊(C₁₁×C₁₉×D₂₉)
unambiguous semidirect product	C₂₉⋊(D₃×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₁×C₁₉	D₈₇
commutator, cosocle, hypocenter	C₃×C₂₉	C₂×C₁₁×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₉×C₂₉	C₂
LCS	G ▷ C₃×C₂₉
UCS	C₁ ◁ C₁₁×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 18183

9405 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36366, 11);