C₃₃₀₇⋊C₉ #44446679

order	29763
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₁

Aliases

C₃₃₀₇⋊C₉

C₃₃₀₇ ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₃₃₀₇⋊C₃
commutator, hypocenter	C₃₃₀₇	C₉
Fitting, socle, prime radical, cosocle	C₃×C₃₃₀₇	C₃
LCS	G ▷ C₃₃₀₇
UCS	C₁ ◁ C₃

6 conjugacy classes of subgroups.

μ_t(G) = 29763

Polycyclic presentation:

3^2,3307|a^3=b,c^a=c^57

3315 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29763, 1);