C₂×C₃×C₁₉×C₂₉⋊C₇ #37528993

order	23142
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

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

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

32 conjugacy classes of subgroups.

μ_t(G) = 3306

1254 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23142, 2);