Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C22×C8 |
No aliases for this group.
| Sylow | C11 ⋊ #7844 |
518 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2816 |
Polycyclic presentation:
2^8,11|a^2=d,b^2=e,c^2=f,d^2=g,e^2=h,c^a=ch,c^b=cg,i^b=i^10512 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 58936);