Finite Group DatabasebetaFinite Group Databasebeta| order | 2816 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#13070618 |
| Fitting | C2×C11×AΣL(1,𝔽16) ⋊ C2 |
| Sylow | C11 ⋊ C2×#2199 |
1392 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
164 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2816, 323598);