C₅×C₁₃×D₂₀₇ #41002084

order	26910
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₃×D₂₀₇
unambiguous semidirect product	C₉⋊(C₅×C₁₃×D₂₃)
unambiguous semidirect product	C₂₃⋊(C₅×C₁₃×D₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₃	D₂₀₇
commutator, cosocle, hypocenter	C₉×C₂₃	C₂×C₅×C₁₃
Frattini	C₃	C₅×C₁₃×D₆₉
Fitting	C₅×C₉×C₁₃×C₂₃	C₂
socle	C₃×C₅×C₁₃×C₂₃	D₃
LCS	G ▷ C₉×C₂₃
UCS	C₁ ◁ C₅×C₁₃

48 conjugacy classes of subgroups.

μ_t(G) = 13455

6825 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26910, 11);