C₁₃×C₂₉×D₄₅ #46800228

order	33930
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₂₉×D₄₅
unambiguous semidirect product	C₅⋊(C₁₃×D₉×C₂₉)
unambiguous semidirect product	C₉⋊(D₅×C₁₃×C₂₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₂₉	D₄₅
commutator, cosocle, hypocenter	C₅×C₉	C₂×C₁₃×C₂₉
Frattini	C₃	C₁₃×C₂₉×D₁₅
Fitting	C₅×C₉×C₁₃×C₂₉	C₂
socle	C₃×C₅×C₁₃×C₂₉	D₃
LCS	G ▷ C₅×C₉
UCS	C₁ ◁ C₁₃×C₂₉

48 conjugacy classes of subgroups.

μ_t(G) = 16965

9048 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33930, 14);