#28483287

order	15104
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

C₅₉ ⋊ #8950

508 conjugacy classes of subgroups.

μ_t(G) = 15104

Polycyclic presentation:

2^8,59|a^2=f,b^2=df,c^2=g,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ce,i^a=i^58,c^b=ch,d^b=dg,e^b=eg,f^b=fg,i^b=i^58,d^c=dg,e^c=eg,f^c=fg

1688 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 64166);