C₃₅₁₇⋊C₉ #44539595

order	31653
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₁

Aliases

C₃₅₁₇⋊C₉

C₃₅₁₇ ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₃₅₁₇⋊C₃
commutator, hypocenter	C₃₅₁₇	C₉
Fitting, socle, prime radical, cosocle	C₃×C₃₅₁₇	C₃
LCS	G ▷ C₃₅₁₇
UCS	C₁ ◁ C₃

6 conjugacy classes of subgroups.

μ_t(G) = 31653

Polycyclic presentation:

3^2,3517|a^3=b,c^a=c^258

3525 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31653, 1);