C₉⋊(C₁₁⋊#63118) #38787898

order	25740
automorphism	?
homology	Abelianization (H₁) = C₄ · Schur multiplier (H₂) = C₁

Aliases

unambiguous semidirect product	C₉⋊(C₁₁⋊#63118)
unambiguous semidirect product	C₁₁⋊(C₉⋊#63118)

	subgroup	G/H
center, hypercenter	C₁	G
commutator, Fitting, hypocenter	C₅×C₉×C₁₁×C₁₃	C₄
Frattini	C₃	C₃⋊(C₁₁⋊#63118)
socle	C₃×C₅×C₁₁×C₁₃	Dic₃
prime radical	C₃×C₅×C₁₁×D₁₃	D₃
cosocle	C₅×C₉×C₁₁×D₁₃	C₂
LCS	G ▷ C₅×C₉×C₁₁×C₁₃
UCS	C₁

72 conjugacy classes of subgroups.

μ_t(G) = 6435

Polycyclic presentation:

2^2,3,5,11,13,3|a^2=b,c^3=g^2,c^a=c^2g,d^a=d^4,e^a=e^10,f^a=f^5,g^a=g^2,f^b=f^12

1983 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25740, 129);