Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#11745669 | C2 | semidirect |
| 2. C2×#14273734 | C2 | semidirect |
| 3. #16837966 | C2 | semidirect |
| 4. #16837653 | C2 | semidirect |
| 5. #16837636 | C2 | semidirect |
| 6. #16837438 | C2 | semidirect |
| 7. #16837407 | C2 | semidirect |
| 8. #16837406 | C2 | semidirect |
| 9. C59×#535 | C2 | semidirect |
| 16. C2×#11745664 | C22 | semidirect |
| 18. C22×C59⋊C8 | C22 | semidirect |
| 21. #14273701 | C22 | semidirect |
| 24. #14273660 | C22 | semidirect |
| 25. #14273658 | C22 | semidirect |
| 26. #14273648 | C22 | semidirect |
| 27. #14273647 | C22 | semidirect |
| 32. #121×C59 | C22 | semidirect |
| 67. C2×C59⋊C8 | D4 | semidirect |
| 129. #535 | D59 | semidirect |
| 135. C59 | #3058 | semidirect |
| 152. #121 | C2×D59 | semidirect |