C₁₁⋊(C₂₅⋊(D₇⋊C₉)) #46831390

order	34650
automorphism	?
homology	Abelianization (H₁) = C₂×C₉ · Schur multiplier (H₂) = C₁

Aliases

unambiguous semidirect product	C₁₁⋊(C₂₅⋊(D₇⋊C₉))
unambiguous semidirect product	C₂₅⋊(C₁₁⋊(D₇⋊C₉))
unambiguous semidirect product	(C₇⋊C₉)⋊D₂₇₅
unambiguous semidirect product	D₁₉₂₅⋊C₉

72 conjugacy classes of subgroups.

μ_t(G) = 17325

Polycyclic presentation:

2,3,5,7,11,3,5|b^3=f,c^5=g^4,c^a=c^4g,d^a=d^6,e^a=e^10,g^a=g^4,d^b=d^2

2076 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34650, 33);