C₂×C₅×C₁₃×D₁₃₁ #46801562

order	34060
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₅×C₁₃×D₁₃₁

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₃	D₁₃₁
commutator, cosocle, hypocenter	C₁₃₁	C₂²×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₃×C₁₃₁	C₂
LCS	G ▷ C₁₃₁
UCS	C₁ ◁ C₂×C₅×C₁₃

40 conjugacy classes of subgroups.

μ_t(G) = 17030

8710 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34060, 55);