Finite Group DatabasebetaFinite Group Databasebeta| order | 1984 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11758493 |
| Fitting | C2×SD16×C31 ⋊ C2 |
| Sylow | C31 ⋊ C2×#135 |
266 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 992 |
238 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#11758493, #16854506, #16854583, … |
| maximal normal subgroup of | C4×#11758493, #16854506, #16854583, … |
| maximal quotient of | C2×#14521042, C2×#14521044, C2×#14521084, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1984, 1330);