#44539145

order	31599
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₁

Aliases

No aliases for this group.

C₃₅₁₁ ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₃₅₁₁⋊C₃
commutator, hypocenter	C₃₅₁₁	C₉
Fitting, socle, prime radical, cosocle	C₃×C₃₅₁₁	C₃
LCS	G ▷ C₃₅₁₁
UCS	C₁ ◁ C₃

6 conjugacy classes of subgroups.

μ_t(G) = 31599

Polycyclic presentation:

3^2,3511|a^3=b,c^a=c^2754

3519 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31599, 1);