Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×#347×C83 ⋊ C2 |
| Sylow | C83 ⋊ #12616 |
420 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5312 |
Polycyclic presentation:
2^8,83|a^2=e,b^2=f,c^2=e,d^2=h,e^2=g,g^2=h,b^a=bd,f^a=fh,i^a=i^82,c^b=cg,e^b=eh,f^c=fh1868 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 84684);