C₂×C₃×C₅×C₂₃×D₁₉ #39910801

order	26220
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₅×C₂₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₃×C₅×C₂₃×D₁₉

	subgroup	G/H
center, hypercenter	C₂×C₃×C₅×C₂₃	D₁₉
commutator, cosocle, hypocenter	C₁₉	C₂²×C₃×C₅×C₂₃
Frattini	C₁	G
Fitting, socle	C₂×C₃×C₅×C₁₉×C₂₃	C₂
LCS	G ▷ C₁₉
UCS	C₁ ◁ C₂×C₃×C₅×C₂₃

80 conjugacy classes of subgroups.

μ_t(G) = 13110

7590 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 91);