Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
352 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 81 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. #20245188 | C2 | semidirect |
| 3. #20243280 | C2 | semidirect |
| 4. #20241401 | C2 | semidirect |
| 5. #20241399 | C2 | semidirect |
| 9. #15689524 | C4 | semidirect |
| 10. #15689506 | C4 | semidirect |
| 14. #15689217 | C4 | semidirect |
| 16. D8×Dic47 | C4 | semidirect |
| 188. C47 | #11746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253953 | 2 |
| #20245188 | 2 |
| #20243280 | 2 |
| #20241401 | 2 |
| #20241399 | 2 |
| #20241397 | 2 |
| C47×#1347 | 2 |
| #11746 | 47 |