Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 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×D8×D59 | C2 | semidirect |
| 2. C2×#14273735 | C2 | semidirect |
| 3. #16837968 | C2 | semidirect |
| 4. #16837656 | C2 | semidirect |
| 5. #16837655 | C2 | semidirect |
| 6. #16837652 | C2 | semidirect |
| 7. #16837637 | C2 | semidirect |
| 8. #16837636 | C2 | semidirect |
| 9. #16837437 | C2 | semidirect |
| 10. #16837405 | C2 | semidirect |
| 11. C59×#469 | C2 | semidirect |
| 19. C2×#11745659 | C22 | semidirect |
| 20. C22×C59⋊C8 | C22 | semidirect |
| 22. C2×C8×D59 | C22 | semidirect |
| 25. #14273702 | C22 | semidirect |
| 26. #14273701 | C22 | semidirect |
| 27. #14273698 | C22 | semidirect |
| 31. #14273660 | C22 | semidirect |
| 32. #14273659 | C22 | semidirect |
| 33. #14273649 | C22 | semidirect |
| 34. #14273648 | C22 | semidirect |
| 35. #14273647 | C22 | semidirect |
| 37. C2×M16×C59 | C22 | semidirect |
| 38. #121×C59 | C22 | semidirect |
| 39. #106×C59 | C22 | semidirect |
| 40. #102×C59 | C22 | semidirect |
| 80. C8×D59 | D4 | semidirect |
| 153. #469 | D59 | semidirect |
| 158. C59 | #3058 | semidirect |
| 168. C2×M16 | C2×D59 | semidirect |
| 177. #121 | C2×D59 | semidirect |
| 183. #106 | C2×D59 | semidirect |
| 187. #102 | C2×D59 | semidirect |