Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
No aliases for this group.
| Fitting | C11×#3484 ⋊ C2 |
| Sylow | C11 ⋊ #60399 |
5128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
Polycyclic presentation:
2^8,11|b^a=bf,c^a=cg,g^b=gh,f^c=fh,i^c=i^10,e^d=eh278 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1036318);