Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C83×#2121 ⋊ C2 |
| Sylow | C83 ⋊ #33347 |
1236 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2656 |
Polycyclic presentation:
2^8,83|a^2=f,d^2=h,b^a=be,e^a=eg,g^a=gh,c^b=ch,f^b=fg,i^d=i^82,f^e=fh989 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 322307);