C₂×C₇×C₂₉×C₁₉⋊C₃ #37528994

order	23142
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₂₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₂×C₇×C₂₉×C₁₉⋊C₃
unambiguous semidirect product	(C₂×C₁₉)⋊(C₃×C₇×C₂₉)

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

32 conjugacy classes of subgroups.

μ_t(G) = 7714

3654 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23142, 3);