C₃₆₁₃⋊C₉ #45654176

order	32517
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₁

Aliases

C₃₆₁₃⋊C₉

C₃₆₁₃ ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₃₆₁₃⋊C₃
commutator, hypocenter	C₃₆₁₃	C₉
Fitting, socle, prime radical, cosocle	C₃×C₃₆₁₃	C₃
LCS	G ▷ C₃₆₁₃
UCS	C₁ ◁ C₃

6 conjugacy classes of subgroups.

μ_t(G) = 32517

Polycyclic presentation:

3^2,3613|a^3=b,c^a=c^1937

3621 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32517, 1);