Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 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. #16837913 | C2 | semidirect |
| 2. #16837744 | C2 | semidirect |
| 3. #16837727 | C2 | semidirect |
| 4. #16837643 | C2 | semidirect |
| 5. #16837638 | C2 | semidirect |
| 6. #16837631 | C2 | semidirect |
| 7. #16837566 | C2 | semidirect |
| 8. #16837549 | C2 | semidirect |
| 9. C2×C22⋊C8×C59 | C2 | semidirect |
| 11. C2×Dic236 | C22 | semidirect |
| 12. C2×#11745660 | C22 | semidirect |
| 13. C2×D472 | C22 | semidirect |
| 23. #14273661 | C22 | semidirect |
| 24. #14273661 | C22 | semidirect |
| 25. #14273659 | C22 | semidirect |
| 26. #14273652 | C22 | semidirect |
| 27. #14273652 | C22 | semidirect |
| 28. #14273649 | C22 | semidirect |
| 29. #14273649 | C22 | semidirect |
| 130. C2×C22⋊C8 | D59 | semidirect |
| 131. C59 | #3191 | semidirect |