C₃×D₅×C₁₉×D₂₃ #39910759

order	26220
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₃×D₅×C₁₉×D₂₃
unambiguous semidirect product	(D₅×C₂₃)⋊(C₂×C₃×C₁₉)
unambiguous semidirect product	(C₅×D₂₃)⋊(C₂×C₃×C₁₉)
unambiguous semidirect product	D₁₁₅⋊(C₂×C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₅×D₂₃
commutator, cosocle, hypocenter	C₅×C₂₃	C₂²×C₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₃	C₂²
LCS	G ▷ C₅×C₂₃
UCS	C₁ ◁ C₃×C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 6555

2964 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 49);