Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×AΣL(1,𝔽16)×C83 ⋊ C2 |
| Sylow | C83 ⋊ #33348 |
1410 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1328 |
Polycyclic presentation:
2^8,83|a^2=f,b^a=be,e^a=eg,g^a=gh,f^b=fg,d^c=dh,i^d=i^82,f^e=fh1112 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 322314);