C₃×C₁₉×D₂₉⋊C₇ #37529014

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

Aliases

direct product	C₃×C₁₉×D₂₉⋊C₇
unambiguous semidirect product	D₂₉⋊(C₃×C₇×C₁₉)
unambiguous semidirect product	(C₃×D₂₉)⋊(C₇×C₁₉)
unambiguous semidirect product	(C₂₉⋊C₇)⋊(C₂×C₃×C₁₉)
unambiguous semidirect product	(C₃×C₁₉×D₂₉)⋊C₇

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₂₉⋊C₇
commutator, cosocle, hypocenter	C₂₉	C₂×C₃×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₁₉×C₂₉	C₂×C₇
LCS	G ▷ C₂₉
UCS	C₁ ◁ C₃×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 1653

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23142, 23);