Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 1. C2×#14273774 | C2 | semidirect |
| 2. C2×#14273752 | C2 | semidirect |
| 3. C22×#11745660 | C2 | semidirect |
| 4. #16837971 | C2 | semidirect |
| 5. #16837548 | C2 | semidirect |
| 6. #16837542 | C2 | semidirect |
| 7. #16837410 | C2 | semidirect |
| 8. #16837368 | C2 | semidirect |
| 9. C59×#416 | C2 | semidirect |
| 15. C2×#11745687 | C22 | semidirect |
| 18. C2×Q8×D59 | C22 | semidirect |
| 30. #14273650 | C22 | semidirect |
| 31. (C2×D59)⋊C8 | C22 | semidirect |
| 35. #103×C59 | C22 | semidirect |
| 36. #102×C59 | C22 | semidirect |
| 39. #41×C59 | D4 | semidirect |
| 70. C2×Dic118 | D4 | semidirect |
| 153. #416 | D59 | semidirect |
| 155. C59 | #3010 | semidirect |
| 180. #103 | C2×D59 | semidirect |
| 181. #102 | C2×D59 | semidirect |
| 191. #41 | D236 | semidirect |