C₃₄₉₉⋊C₉ #44538440

order	31491
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₁

Aliases

C₃₄₉₉⋊C₉

C₃₄₉₉ ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₃₄₉₉⋊C₃
commutator, hypocenter	C₃₄₉₉	C₉
Fitting, socle, prime radical, cosocle	C₃×C₃₄₉₉	C₃
LCS	G ▷ C₃₄₉₉
UCS	C₁ ◁ C₃

6 conjugacy classes of subgroups.

μ_t(G) = 31491

Polycyclic presentation:

3^2,3499|a^3=b,c^a=c^156

3507 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31491, 1);