Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16838030 | C2 | semidirect |
| 2. #16837766 | C2 | semidirect |
| 3. #16837761 | C2 | semidirect |
| 4. #16837756 | C2 | semidirect |
| 5. #16837748 | C2 | semidirect |
| 6. #16837407 | C2 | semidirect |
| 7. #16837403 | C2 | semidirect |
| 8. #16837398 | C2 | semidirect |
| 9. C2×#14273648 | C2 | semidirect |
| 10. #16837358 | C2 | semidirect |
| 14. #14273727 | C22 | semidirect |
| 16. #14273719 | C22 | semidirect |
| 21. #14273651 | C22 | semidirect |
| 22. #14273651 | C22 | semidirect |
| 23. #14273651 | C22 | semidirect |
| 28. #14273648 | C22 | semidirect |
| 29. #14273648 | C22 | semidirect |
| 30. #14273648 | C22 | semidirect |
| 31. #14273638 | C22 | semidirect |
| 32. C4×C59⋊C8 | C22 | semidirect |
| 147. C59 | #3136 | semidirect |