Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #100×D31 |
| Fitting | C31×#100 ⋊ C2 |
| Sylow | C31 ⋊ C2×#100 |
186 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 248 |
187 conjugacy classes — view the full character table.
| maximal subgroup of | D31×AΣL(1,𝔽16), D31×#352, #16847354, … |
| maximal normal subgroup of | D31×AΣL(1,𝔽16), D31×#352, #16847354, … |
| maximal quotient of | D31×#323, #16844030, #16844036, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 524);