#35291347

order	21248
automorphism	?
homology	Abelianization (H₁) = C₄×C₈ · Schur multiplier (H₂) = C₂²

Aliases

No aliases for this group.

C₈₃ ⋊ #7180

240 conjugacy classes of subgroups.

μ_t(G) = 2656

Polycyclic presentation:

2^8,83|a^2=d,b^2=e,c^2=f,d^2=g,e^2=fg,f^2=h,g^2=h,b^a=bc,c^a=cf,e^a=ef,f^a=fh,i^a=i^82,d^b=dh,i^b=i^82

2360 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 56511);