Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C11 ⋊ #12051 |
224 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1408 |
Polycyclic presentation:
2^8,11|a^2=e,b^2=f,c^2=e,d^2=f,e^2=g,g^2=h,b^a=bd,c^a=ch,d^a=df,i^a=i^10,c^b=ch,d^b=df,i^c=i^10368 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 81356);