Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#13070259 |
| Fitting | C2×C11×AΣL(1,𝔽16) ⋊ C2 |
| Sylow | C11 ⋊ C2×#2121 |
1494 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 322292);