Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C11 ⋊ #9566 |
398 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2816 |
Polycyclic presentation:
2^8,11|a^2=f,b^2=dfh,c^2=dh,d^2=g,e^2=h,b^a=bd,c^a=ce,d^a=dg,e^a=eh,i^a=i^10,i^b=i^10,e^c=egh,i^c=i^10248 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 67919);