D₅×D₂₃×C₁₉⋊C₃ #39910746

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

Aliases

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

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

80 conjugacy classes of subgroups.

μ_t(G) = 2185

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 36);