C₂×C₅×C₁₃×D₁₂₁ #44538101

order	31460
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₃ · Schur multiplier (H₂) = C₂

Aliases

C₂×C₅×C₁₃×D₁₂₁

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₃	D₁₂₁
commutator, cosocle, hypocenter	C₁₂₁	C₂²×C₅×C₁₃
Frattini	C₁₁	C₂×C₅×C₁₃×D₁₁
Fitting	C₂×C₅×C₁₃×C₁₂₁	C₂
socle	C₂×C₅×C₁₁×C₁₃	D₁₁
LCS	G ▷ C₁₂₁
UCS	C₁ ◁ C₂×C₅×C₁₃

60 conjugacy classes of subgroups.

μ_t(G) = 15730

8060 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31460, 41);