Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C2×#421×C83 ⋊ C2 |
| Sylow | C83 ⋊ #20605 |
3966 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2656 |
Polycyclic presentation:
2^8,83|a^2=g,e^2=h,g^2=h,b^a=be,c^a=cf,d^a=dh,e^a=eh,e^b=eh,i^c=i^821868 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 168815);