Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
890 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 890 conjugacy classes of subgroups — too many to draw. Only its 159 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. #20245124 | C2 | semidirect |
| 2. #20245095 | C2 | semidirect |
| 3. #20245002 | C2 | semidirect |
| 4. #20243434 | C2 | semidirect |
| 6. C2×#13093964 | C22 | semidirect |
| 7. C22×C47⋊C16 | C22 | semidirect |
| 8. #15689161 | C22 | semidirect |
| 20. C47×#575 | C4 | semidirect |
| 178. #575 | Dic47 | semidirect |
| 191. C47 | #12745 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245124 | 2 |
| #20245095 | 2 |
| #20245002 | 2 |
| #20243434 | 2 |
| C47×#3584 | 2 |
| #12745 | 47 |