C₁₉×C₃₁×C₁₃⋊C₃ #37525849

order	22971
automorphism	?
homology	Abelianization (H₁) = C₃×C₁₉×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

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

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

16 conjugacy classes of subgroups.

μ_t(G) = 7657

4123 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22971, 6);