C₂×C₅×C₂₉×D₅₉ #46803785

order	34220
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₂₉ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₅×C₂₉×D₅₉

	subgroup	G/H
center, hypercenter	C₂×C₅×C₂₉	D₅₉
commutator, cosocle, hypocenter	C₅₉	C₂²×C₅×C₂₉
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₂₉×C₅₉	C₂
LCS	G ▷ C₅₉
UCS	C₁ ◁ C₂×C₅×C₂₉

40 conjugacy classes of subgroups.

μ_t(G) = 17110

8990 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34220, 40);