Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
512 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 2. #20245605 | C2 | semidirect |
| 3. #20245561 | C2 | semidirect |
| 4. #20245466 | C2 | semidirect |
| 6. #20245277 | C2 | semidirect |
| 7. #20245204 | C2 | semidirect |
| 8. C47×#3177 | C2 | semidirect |
| 18. #15688945 | C22 | semidirect |
| 19. #15688944 | C22 | semidirect |
| 20. #15688939 | C22 | semidirect |
| 23. #15688901 | C22 | semidirect |
| 25. C47×#499 | C22 | semidirect |
| 26. C47×#494 | C22 | semidirect |
| 30. C47×#441 | C22 | semidirect |
| 157. #3177 | D47 | semidirect |
| 173. #499 | C2×D47 | semidirect |
| 174. #494 | C2×D47 | semidirect |
| 182. #441 | C2×D47 | semidirect |
| 193. C47 | #33693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252292 | 2 |
| #20245605 | 2 |
| #20245561 | 2 |
| #20245466 | 2 |
| #20245338 | 2 |
| #20245277 | 2 |
| #20245204 | 2 |
| C47×#3177 | 2 |
| #33693 | 47 |