Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
464 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #20243571 | C2 | semidirect |
| 5. #20241273 | C2 | semidirect |
| 6. #20241234 | C2 | semidirect |
| 7. C47×#1855 | C2 | semidirect |
| 22. #15688861 | C4 | semidirect |
| 23. #15688861 | C4 | semidirect |
| 24. #15688858 | C4 | semidirect |
| 25. #15688858 | C4 | semidirect |
| 212. #1855 | D47 | semidirect |
| 248. C47 | #8874 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252438 | 2 |
| #20243690 | 2 |
| #20243571 | 2 |
| #20241880 | 2 |
| #20241273 | 2 |
| #20241234 | 2 |
| C47×#1855 | 2 |
| #8874 | 47 |