Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C4×#97×C83 ⋊ C2 |
| Sylow | C83 ⋊ #20491 |
1246 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
Polycyclic presentation:
2^8,83|a^2=f,b^2=g,c^2=g,d^2=f,f^2=h,b^a=be,c^a=ch,i^a=i^82,i^b=i^82,d^c=dh3380 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 167977);