#35298339

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂³

Aliases

No aliases for this group.

C₈₃ ⋊ #8846

464 conjugacy classes of subgroups.

μ_t(G) = 21248

Polycyclic presentation:

2^8,83|a^2=f,b^2=fg,c^2=g,d^2=g,e^2=g,f^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eg,i^a=i^82,d^b=dg,e^b=eg,i^b=i^82,d^c=dg,e^c=eg,i^c=i^82

3356 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 63503);