C₁₃⋊C₉×D₁₁₅ #41002095

order	26910
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃⋊C₉×D₁₁₅
unambiguous semidirect product	C₅⋊(D₂₃×C₁₃⋊C₉)
unambiguous semidirect product	C₂₃⋊(D₅×C₁₃⋊C₉)
unambiguous semidirect product	(C₁₃×D₁₁₅)⋊C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₁₃⋊C₃×D₁₁₅
commutator, hypocenter	C₅×C₁₃×C₂₃	C₂×C₉
Fitting, socle, cosocle	C₃×C₅×C₁₃×C₂₃	C₂×C₃
prime radical	C₃×C₁₃×D₁₁₅	C₃
LCS	G ▷ C₅×C₁₃×C₂₃
UCS	C₁ ◁ C₃

48 conjugacy classes of subgroups.

μ_t(G) = 13455

1239 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26910, 22);