Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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. #16838109 | C2 | semidirect |
| 3. #16837749 | C2 | semidirect |
| 4. #16837721 | C2 | semidirect |
| 5. #16837693 | C2 | semidirect |
| 6. #16837631 | C2 | semidirect |
| 7. #16837603 | C2 | semidirect |
| 8. #16837555 | C2 | semidirect |
| 9. C4×#11745660 | C2 | semidirect |
| 10. C2×#14273649 | C2 | semidirect |
| 11. C8×D4×C59 | C2 | semidirect |
| 15. C2×#11745660 | C22 | semidirect |
| 16. #14273727 | C22 | semidirect |
| 19. #14273706 | C22 | semidirect |
| 24. C4×Dic118 | C22 | semidirect |
| 27. C2×C4⋊Dic59 | C22 | semidirect |
| 28. #14273659 | C22 | semidirect |
| 29. #14273659 | C22 | semidirect |
| 30. #14273652 | C22 | semidirect |
| 33. #14273649 | C22 | semidirect |
| 34. #14273649 | C22 | semidirect |
| 35. #14273649 | C22 | semidirect |
| 36. C22×C8×C59 | C22 | semidirect |
| 38. C4⋊C8×C59 | C22 | semidirect |
| 39. C22⋊C8×C59 | C22 | semidirect |
| 40. C4×C8×C59 | C22 | semidirect |
| 83. D4×C59 | SD16 | semidirect |
| 146. C8×D4 | D59 | semidirect |
| 148. C59 | #3295 | semidirect |
| 153. C22×C8 | C2×D59 | semidirect |
| 169. C4⋊C8 | C2×D59 | semidirect |
| 176. C22⋊C8 | C2×D59 | semidirect |
| 177. C4×C8 | C2×D59 | semidirect |
| 231. D4 | #11745660 | semidirect |