Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#13070511 |
| Fitting | C2×C11×#360 ⋊ C2 |
| Sylow | C11 ⋊ C2×AGL(1,ℤ/16) |
710 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
206 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 323006);