Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16838202 | C2 | semidirect |
| 2. C2×#14273755 | C2 | semidirect |
| 3. C2×#14273755 | C2 | semidirect |
| 4. #16838168 | C2 | semidirect |
| 5. #16837673 | C2 | semidirect |
| 6. #16837666 | C2 | semidirect |
| 7. #16837384 | C2 | semidirect |
| 8. C2×#14273643 | C2 | semidirect |
| 9. C59×#430 | C2 | semidirect |
| 14. #14273760 | C22 | semidirect |
| 20. #14273755 | C22 | semidirect |
| 23. C2×#11745660 | C22 | semidirect |
| 25. C2×D472 | C22 | semidirect |
| 27. #14273733 | C22 | semidirect |
| 30. #14273645 | C22 | semidirect |
| 31. #14273643 | C22 | semidirect |
| 32. #14273643 | C22 | semidirect |
| 36. #108×C59 | C22 | semidirect |
| 154. #430 | D59 | semidirect |
| 157. C59 | #3068 | semidirect |
| 181. #108 | C2×D59 | semidirect |