C₇×C₂₉×D₅₇ #37529008

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

Aliases

direct product	C₇×C₂₉×D₅₇
unambiguous semidirect product	C₃⋊(C₇×C₂₉×D₁₉)
unambiguous semidirect product	C₁₉⋊(D₃×C₇×C₂₉)

	subgroup	G/H
center, hypercenter	C₇×C₂₉	D₅₇
commutator, cosocle, hypocenter	C₃×C₁₉	C₂×C₇×C₂₉
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₂₉	C₂
LCS	G ▷ C₃×C₁₉
UCS	C₁ ◁ C₇×C₂₉

32 conjugacy classes of subgroups.

μ_t(G) = 11571

6090 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23142, 17);