C₂²×C₃×C₅×C₁₉×ΓL(1,𝔽₈) #37561626

order	23940
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₅×C₁₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂²×C₃×C₅×C₁₉×ΓL(1,𝔽₈)

	subgroup	G/H
center, hypercenter	C₂²×C₃×C₅×C₁₉	ΓL(1,𝔽₈)
commutator, cosocle, hypocenter	C₇	C₂²×C₃²×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₂²×C₃×C₅×C₇×C₁₉	C₃
LCS	G ▷ C₇
UCS	C₁ ◁ C₂²×C₃×C₅×C₁₉

240 conjugacy classes of subgroups.

μ_t(G) = 7980

5700 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23940, 758);