Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 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×#14273755 | C2 | semidirect |
| 2. C2×#14273747 | C2 | semidirect |
| 3. C22×#11745669 | C2 | semidirect |
| 4. #16837969 | C2 | semidirect |
| 5. #16837966 | C2 | semidirect |
| 6. #16837790 | C2 | semidirect |
| 7. #16837788 | C2 | semidirect |
| 8. #16837783 | C2 | semidirect |
| 9. #16837777 | C2 | semidirect |
| 10. #16837360 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C59 | C2 | semidirect |
| 16. C2×#11745672 | C22 | semidirect |
| 17. C2×#11745660 | C22 | semidirect |
| 18. C2×#11745670 | C22 | semidirect |
| 19. C2×#11745671 | C22 | semidirect |
| 20. C2×D472 | C22 | semidirect |
| 24. C2×#11745669 | C22 | semidirect |
| 26. #14273723 | C22 | semidirect |
| 27. #14273723 | C22 | semidirect |
| 28. #14273716 | C22 | semidirect |
| 29. #14273714 | C22 | semidirect |
| 35. #14273637 | C22 | semidirect |
| 36. C8×Dic59 | C22 | semidirect |
| 40. C2×SD16×C59 | C22 | semidirect |
| 41. C2×D8×C59 | C22 | semidirect |
| 70. M16×C59 | D4 | semidirect |
| 83. C2×C59⋊C8 | D4 | semidirect |
| 155. C2×AGL(1,ℤ/8) | D59 | semidirect |
| 165. C59 | #3155 | semidirect |
| 177. C2×SD16 | C2×D59 | semidirect |
| 183. C2×D8 | C2×D59 | semidirect |
| 232. M16 | C22⋊D59 | semidirect |