D₃×D₅×C₁₉×C₂₃ #39910781

order	26220
automorphism	?
homology	Abelianization (H₁) = C₂²×C₁₉×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×D₅×C₁₉×C₂₃
unambiguous semidirect product	(C₅×D₃)⋊(C₂×C₁₉×C₂₃)
unambiguous semidirect product	(C₃×D₅)⋊(C₂×C₁₉×C₂₃)
unambiguous semidirect product	D₁₅⋊(C₂×C₁₉×C₂₃)

	subgroup	G/H
center, hypercenter	C₁₉×C₂₃	D₃×D₅
commutator, cosocle, hypocenter	C₃×C₅	C₂²×C₁₉×C₂₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₉×C₂₃	C₂²
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₁₉×C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 6555

5244 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 71);