C₁₃×C₂₃×D₄₅ #41002087

order	26910
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₂₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₂₃×D₄₅
unambiguous semidirect product	C₅⋊(C₁₃×D₉×C₂₃)
unambiguous semidirect product	C₉⋊(D₅×C₁₃×C₂₃)

	subgroup	G/H
center, hypercenter	C₁₃×C₂₃	D₄₅
commutator, cosocle, hypocenter	C₅×C₉	C₂×C₁₃×C₂₃
Frattini	C₃	C₁₃×C₂₃×D₁₅
Fitting	C₅×C₉×C₁₃×C₂₃	C₂
socle	C₃×C₅×C₁₃×C₂₃	D₃
LCS	G ▷ C₅×C₉
UCS	C₁ ◁ C₁₃×C₂₃

48 conjugacy classes of subgroups.

μ_t(G) = 13455

7176 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26910, 14);