C₁₉×D₁₅⋊D₂₃ #39910784

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

Aliases

direct product	C₁₉×D₁₅⋊D₂₃
unambiguous semidirect product	D₁₅⋊(C₁₉×D₂₃)
unambiguous semidirect product	D₆₉⋊(D₅×C₁₉)
unambiguous semidirect product	D₁₁₅⋊(D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	D₁₅⋊D₂₃
commutator, cosocle, hypocenter	C₃×C₅×C₂₃	C₂²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₃	C₂²
LCS	G ▷ C₃×C₅×C₂₃
UCS	C₁ ◁ C₁₉

80 conjugacy classes of subgroups.

μ_t(G) = 6555

2109 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 74);