Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
No aliases for this group.
| Fitting | C11×#3027 ⋊ C2 |
| Sylow | C11 ⋊ #60402 |
4778 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
Polycyclic presentation:
2^8,11|a^2=h,d^2=h,e^2=h,b^a=bf,c^a=cg,i^a=i^10,g^b=gh,f^c=fh,e^d=eh,i^e=i^10203 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1036338);