Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
752 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 752 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 |
|---|---|---|
| 2. C2×#14273760 | C2 | semidirect |
| 3. C22×#11745670 | C2 | semidirect |
| 4. #16837978 | C2 | semidirect |
| 5. #16837565 | C2 | semidirect |
| 6. #16837554 | C2 | semidirect |
| 7. #16837396 | C2 | semidirect |
| 8. #16837370 | C2 | semidirect |
| 9. C59×#418 | C2 | semidirect |
| 16. C22×Dic118 | C22 | semidirect |
| 21. C2×Dic236 | C22 | semidirect |
| 22. C2×#11745660 | C22 | semidirect |
| 24. C2×#11745670 | C22 | semidirect |
| 25. C22×C59⋊C8 | C22 | semidirect |
| 29. #14273707 | C22 | semidirect |
| 30. #14273650 | C22 | semidirect |
| 31. #14273647 | C22 | semidirect |
| 32. (C2×D59)⋊C8 | C22 | semidirect |
| 34. C2×M16×C59 | C22 | semidirect |
| 35. #117×C59 | C22 | semidirect |
| 36. #102×C59 | C22 | semidirect |
| 153. #418 | D59 | semidirect |
| 156. C59 | #3009 | semidirect |
| 173. C2×M16 | C2×D59 | semidirect |
| 179. #117 | C2×D59 | semidirect |
| 182. #102 | C2×D59 | semidirect |