Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | Q8×#66964 |
| Fitting | Q8×C11×D8 ⋊ C2 |
| Sylow | C11 ⋊ Q8×AGL(1,ℤ/8) |
2010 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
230 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 1050138);