C₁₃×C₁₇×D₄₅ #34091029

order	19890
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₁₇×D₄₅
unambiguous semidirect product	C₅⋊(C₁₃×C₁₇×D₉)
unambiguous semidirect product	C₉⋊(D₅×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₇	D₄₅
commutator, cosocle, hypocenter	C₅×C₉	C₂×C₁₃×C₁₇
Frattini	C₃	C₁₃×C₁₇×D₁₅
Fitting	C₅×C₉×C₁₃×C₁₇	C₂
socle	C₃×C₅×C₁₃×C₁₇	D₃
LCS	G ▷ C₅×C₉
UCS	C₁ ◁ C₁₃×C₁₇

48 conjugacy classes of subgroups.

μ_t(G) = 9945

5304 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19890, 14);