Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 129 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×#14273753 | C2 | semidirect |
| 3. C2×#14273753 | C2 | semidirect |
| 4. #16838168 | C2 | semidirect |
| 5. #16837671 | C2 | semidirect |
| 6. #16837664 | C2 | semidirect |
| 7. #16837450 | C2 | semidirect |
| 8. #16837384 | C2 | semidirect |
| 9. C2×#100×C59 | C2 | semidirect |
| 13. #14273760 | C22 | semidirect |
| 15. #14273755 | C22 | semidirect |
| 22. C2×#11745670 | C22 | semidirect |
| 24. C2×#11745669 | C22 | semidirect |
| 25. #14273735 | C22 | semidirect |
| 30. #14273662 | C22 | semidirect |
| 31. #14273645 | C22 | semidirect |
| 32. #14273643 | C22 | semidirect |
| 36. #100×C59 | C22 | semidirect |
| 156. C2×#100 | D59 | semidirect |
| 157. C59 | #3068 | semidirect |
| 184. #100 | C2×D59 | semidirect |