C₁₃×C₁₉×C₃₁⋊C₃ #37525845

order	22971
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₁₉×C₃₁⋊C₃
unambiguous semidirect product	C₃₁⋊(C₃×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₉	C₃₁⋊C₃
commutator, cosocle, hypocenter	C₃₁	C₃×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₁₃×C₁₉×C₃₁	C₃
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₁₃×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 7657

3211 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22971, 2);