Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1312 conjugacy classes of subgroups; only the 311 normal subgroups are shown.
This group has 1312 conjugacy classes of subgroups — too many to draw. Only its 311 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #20251867 | C2 | semidirect |
| 2. #20245080 | C2 | semidirect |
| 3. #20245073 | C2 | semidirect |
| 6. #15689107 | C22 | semidirect |
| 8. #15688922 | C22 | semidirect |
| 9. #15688920 | C22 | semidirect |
| 159. C47 | #33373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20251867 | 2 |
| #20245080 | 2 |
| #20245073 | 2 |
| C47×#3498 | 2 |
| #33373 | 47 |