Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 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. C2×#14273746 | C2 | semidirect |
| 2. #16838046 | C2 | semidirect |
| 3. #16837785 | C2 | semidirect |
| 4. #16837643 | C2 | semidirect |
| 5. #16837635 | C2 | semidirect |
| 6. #16837615 | C2 | semidirect |
| 7. #16837553 | C2 | semidirect |
| 8. #16837544 | C2 | semidirect |
| 9. D8×Dic59 | C2 | semidirect |
| 10. C8×C22⋊D59 | C2 | semidirect |
| 11. C22×D8×C59 | C2 | semidirect |
| 12. C2×#11745687 | C22 | semidirect |
| 14. C2×Dic236 | C22 | semidirect |
| 15. C2×#11745670 | C22 | semidirect |
| 16. C2×#11745670 | C22 | semidirect |
| 17. C2×C8×D59 | C22 | semidirect |
| 18. #14273714 | C22 | semidirect |
| 22. #14273698 | C22 | semidirect |
| 24. D4×Dic59 | C22 | semidirect |
| 27. #14273661 | C22 | semidirect |
| 28. Dic59⋊C8 | C22 | semidirect |
| 29. #14273652 | C22 | semidirect |
| 30. #14273648 | C22 | semidirect |
| 31. #14273648 | C22 | semidirect |
| 33. (C2×D59)⋊C8 | C22 | semidirect |
| 34. C8×Dic59 | C22 | semidirect |
| 59. D8×C59 | D4 | semidirect |
| 123. C22×C59 | #135 | semidirect |
| 145. C22×D8 | D59 | semidirect |
| 155. C59 | #3280 | semidirect |
| 206. D8 | C22⋊D59 | semidirect |
| 270. C22 | #14273746 | semidirect |