C₁₃×C₃₁×C₁₉⋊C₃ #37525846

order	22971
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₃×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

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

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

16 conjugacy classes of subgroups.

μ_t(G) = 7657

3627 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22971, 3);