C₃×C₂₉×D₁₃₃ #37529004

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

Aliases

C₃×C₂₉×D₁₃₃

	subgroup	G/H
center, hypercenter	C₃×C₂₉	D₁₃₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂×C₃×C₂₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₂₉	C₂
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₃×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 11571

5916 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23142, 13);