D₅×C₁₉×D₆₉ #39910782

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

Aliases

direct product	D₅×C₁₉×D₆₉
unambiguous semidirect product	(C₃×D₅)⋊(C₁₉×D₂₃)
unambiguous semidirect product	(D₅×C₂₃)⋊(D₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₉	D₅×D₆₉
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

2736 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 72);