Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C8 |
No aliases for this group.
| Sylow | C83 ⋊ #8146 |
642 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
Polycyclic presentation:
2^8,83|a^2=e,b^2=f,c^2=e,e^2=g,f^2=h,b^a=bd,c^a=cg,i^a=i^82,i^c=i^823392 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 60048);