C₂×C₁₉×ΓL(1,𝔽₈)×C₂₉ #37528995

order	23142
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₉×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₁₉×ΓL(1,𝔽₈)×C₂₉
unambiguous semidirect product	(C₂×C₇)⋊(C₃×C₁₉×C₂₉)
unambiguous semidirect product	(C₂×C₇×C₂₉)⋊(C₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₂×C₁₉×C₂₉	ΓL(1,𝔽₈)
commutator, cosocle, hypocenter	C₇	C₂×C₃×C₁₉×C₂₉
Frattini	C₁	G
Fitting, socle	C₂×C₇×C₁₉×C₂₉	C₃
LCS	G ▷ C₇
UCS	C₁ ◁ C₂×C₁₉×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 7714

5510 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23142, 4);