C₂×C₅×C₁₃×C₁₁⋊D₁₁ #44538283

order	31460
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₁₃ · Schur multiplier (H₂) = C₂×C₁₁

Aliases

C₂×C₅×C₁₃×C₁₁⋊D₁₁

	subgroup	G/H
center, hypercenter	C₂×C₅×C₁₃	C₁₁⋊D₁₁
commutator, cosocle, hypocenter	C₁₁²	C₂²×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₂×C₅×C₁₁²×C₁₃	C₂
LCS	G ▷ C₁₁²
UCS	C₁ ◁ C₂×C₅×C₁₃

280 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, 223);