C₂²×C₅×C₂₃×C₁₉⋊C₃ #39910799

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

Aliases

C₂²×C₅×C₂₃×C₁₉⋊C₃

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

80 conjugacy classes of subgroups.

μ_t(G) = 8740

4140 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 89);