Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C83 ⋊ C4×#440 |
1206 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
Polycyclic presentation:
2^8,83|a^2=f,b^2=g,c^2=gh,d^2=f,e^2=h,b^a=be,c^a=ch,e^a=eh,i^a=i^82,e^b=eh,i^c=i^82,i^d=i^821892 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 168063);