C₁₁×C₁₉×D₄₅ #34037823

order	18810
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₁×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₁×C₁₉×D₄₅
unambiguous semidirect product	C₅⋊(C₁₁×D₉×C₁₉)
unambiguous semidirect product	C₉⋊(D₅×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₁×C₁₉	D₄₅
commutator, cosocle, hypocenter	C₅×C₉	C₂×C₁₁×C₁₉
Frattini	C₃	C₁₁×C₁₉×D₁₅
Fitting	C₅×C₉×C₁₁×C₁₉	C₂
socle	C₃×C₅×C₁₁×C₁₉	D₃
LCS	G ▷ C₅×C₉
UCS	C₁ ◁ C₁₁×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 9405

5016 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18810, 16);