Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16837938 | C2 | semidirect |
| 2. C2×D4×Dic59 | C2 | semidirect |
| 3. #16837730 | C2 | semidirect |
| 4. #16837716 | C2 | semidirect |
| 5. #16837700 | C2 | semidirect |
| 6. #16837619 | C2 | semidirect |
| 8. #16837511 | C2 | semidirect |
| 9. #16837503 | C2 | semidirect |
| 10. #16837456 | C2 | semidirect |
| 11. C59×#450 | C2 | semidirect |
| 15. #14273718 | C22 | semidirect |
| 16. #14273716 | C22 | semidirect |
| 19. Q8×Dic59 | C22 | semidirect |
| 24. #14273689 | C22 | semidirect |
| 30. #14273661 | C22 | semidirect |
| 31. #14273658 | C22 | semidirect |
| 32. Dic59⋊C8 | C22 | semidirect |
| 33. #14273651 | C22 | semidirect |
| 34. #14273649 | C22 | semidirect |
| 37. #14273637 | C22 | semidirect |
| 147. #450 | D59 | semidirect |
| 152. C59 | #3114 | semidirect |