C₃₇₃₉⋊C₉ #46777801

order	33651
automorphism	?
homology	Abelianization (H₁) = C₉ · Schur multiplier (H₂) = C₁

Aliases

C₃₇₃₉⋊C₉

C₃₇₃₉ ⋊ C₉

	subgroup	G/H
center, Frattini, hypercenter	C₃	C₃₇₃₉⋊C₃
commutator, hypocenter	C₃₇₃₉	C₉
Fitting, socle, prime radical, cosocle	C₃×C₃₇₃₉	C₃
LCS	G ▷ C₃₇₃₉
UCS	C₁ ◁ C₃

6 conjugacy classes of subgroups.

μ_t(G) = 33651

Polycyclic presentation:

3^2,3739|a^3=b,c^a=c^3044

3747 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33651, 1);