Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1312 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1312 conjugacy classes of subgroups — too many to draw. Only its 271 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. #20251867 | C2 | semidirect |
| 3. #20245079 | C2 | semidirect |
| 4. #20245071 | C2 | semidirect |
| 5. C47×#2888 | C2 | semidirect |
| 17. #15689107 | C22 | semidirect |
| 19. #15688921 | C22 | semidirect |
| 20. #15688919 | C22 | semidirect |
| 23. C47×#413 | C22 | semidirect |
| 181. #2888 | D47 | semidirect |
| 204. #413 | C2×D47 | semidirect |
| 209. C47 | #33373 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257162 | 2 |
| #20251867 | 2 |
| #20245079 | 2 |
| #20245071 | 2 |
| C47×#2888 | 2 |
| #33373 | 47 |