Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16837793 | C2 | semidirect |
| 4. #16837760 | C2 | semidirect |
| 5. #16837623 | C2 | semidirect |
| 6. #16837622 | C2 | semidirect |
| 7. #16837560 | C2 | semidirect |
| 8. #16837557 | C2 | semidirect |
| 10. #16837456 | C2 | semidirect |
| 13. C2×Dic236 | C22 | semidirect |
| 14. C2×#11745672 | C22 | semidirect |
| 16. #14273726 | C22 | semidirect |
| 17. #14273725 | C22 | semidirect |
| 25. Q8×Dic59 | C22 | semidirect |
| 27. #14273692 | C22 | semidirect |
| 32. Dic59⋊C8 | C22 | semidirect |
| 33. #14273652 | C22 | semidirect |
| 34. #14273650 | C22 | semidirect |
| 37. #14273637 | C22 | semidirect |
| 151. C59 | #3215 | semidirect |