Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
448 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16837954 | C2 | semidirect |
| 3. #16837732 | C2 | semidirect |
| 4. #16837691 | C2 | semidirect |
| 5. #16837606 | C2 | semidirect |
| 8. #16837489 | C2 | semidirect |
| 9. #16837487 | C2 | semidirect |
| 10. #16837452 | C2 | semidirect |
| 11. C59×#483 | C2 | semidirect |
| 16. #14273726 | C22 | semidirect |
| 17. #14273725 | C22 | semidirect |
| 21. Q8×Dic59 | C22 | semidirect |
| 23. #14273692 | C22 | semidirect |
| 31. #14273658 | C22 | semidirect |
| 32. Dic59⋊C8 | C22 | semidirect |
| 33. #14273650 | C22 | semidirect |
| 37. C8×Dic59 | C22 | semidirect |
| 40. #106×C59 | C22 | semidirect |
| 41. #103×C59 | C22 | semidirect |
| 98. C2×Dic59 | SD16 | semidirect |
| 140. #483 | D59 | semidirect |
| 148. C59 | #3101 | semidirect |
| 171. #106 | C2×D59 | semidirect |
| 174. #103 | C2×D59 | semidirect |