Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
284 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 55 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. #20245708 | C2 | semidirect |
| 3. #20245705 | C2 | semidirect |
| 4. #20245497 | C2 | semidirect |
| 5. #20241574 | C2 | semidirect |
| 6. #20241527 | C2 | semidirect |
| 7. C47×#1418 | C2 | semidirect |
| 15. C2×Dic376 | C22 | semidirect |
| 22. #15688957 | C22 | semidirect |
| 25. C47×M64 | C22 | semidirect |
| 26. C47×#367 | C22 | semidirect |
| 141. #1418 | D47 | semidirect |
| 164. M64 | C2×D47 | semidirect |
| 165. #367 | C2×D47 | semidirect |
| 167. C47 | #13668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20256521 | 2 |
| #20245708 | 2 |
| #20245705 | 2 |
| #20245497 | 2 |
| #20241574 | 2 |
| #20241527 | 2 |
| C47×#1418 | 2 |
| #13668 | 47 |