#35298573

order	21248
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄ · Schur multiplier (H₂) = C₂×C₄

Aliases

No aliases for this group.

C₈₃ ⋊ #8883

470 conjugacy classes of subgroups.

μ_t(G) = 21248

Polycyclic presentation:

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

2348 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 63737);