C₂×C₃²×C₂₉×D₃₁ #44569133

order	32364
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₂₉ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×C₂₉×D₃₁

	subgroup	G/H
center, hypercenter	C₂×C₃²×C₂₉	D₃₁
commutator, cosocle, hypocenter	C₃₁	C₂²×C₃²×C₂₉
Frattini	C₁	G
Fitting, socle	C₂×C₃²×C₂₉×C₃₁	C₂
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₂×C₃²×C₂₉

120 conjugacy classes of subgroups.

μ_t(G) = 16182

8874 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32364, 119);