C₃₄₆₃⋊C₉ #44528498

order	31167
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₁

Aliases

C₃₄₆₃⋊C₉

C₃₄₆₃ ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₃₄₆₃⋊C₃
commutator, hypocenter	C₃₄₆₃	C₉
Fitting, socle, prime radical, cosocle	C₃×C₃₄₆₃	C₃
LCS	G ▷ C₃₄₆₃
UCS	C₁ ◁ C₃

6 conjugacy classes of subgroups.

μ_t(G) = 31167

Polycyclic presentation:

3^2,3463|a^3=b,c^a=c^367

3471 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31167, 1);