Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
526 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 123 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×#14273749 | C2 | semidirect |
| 2. C2×D8×D59 | C2 | semidirect |
| 3. #16838049 | C2 | semidirect |
| 4. #16837785 | C2 | semidirect |
| 5. #16837644 | C2 | semidirect |
| 6. #16837616 | C2 | semidirect |
| 7. #16837554 | C2 | semidirect |
| 8. #16837545 | C2 | semidirect |
| 9. #16837484 | C2 | semidirect |
| 10. C8×C22⋊D59 | C2 | semidirect |
| 11. C59×#466 | C2 | semidirect |
| 12. C2×#11745685 | C22 | semidirect |
| 15. C2×Dic236 | C22 | semidirect |
| 16. C2×#11745660 | C22 | semidirect |
| 17. C2×#11745670 | C22 | semidirect |
| 22. #14273714 | C22 | semidirect |
| 27. #14273689 | C22 | semidirect |
| 30. Dic59⋊C8 | C22 | semidirect |
| 31. #14273650 | C22 | semidirect |
| 32. #14273647 | C22 | semidirect |
| 33. C22⋊(C59⋊C8) | C22 | semidirect |
| 35. C8×Dic59 | C22 | semidirect |
| 37. C22×C8×C59 | C22 | semidirect |
| 38. #121×C59 | C22 | semidirect |
| 39. #107×C59 | C22 | semidirect |
| 40. #102×C59 | C22 | semidirect |
| 77. D472 | D4 | semidirect |
| 127. C2×D59 | #135 | semidirect |
| 149. #466 | D59 | semidirect |
| 155. C59 | #3280 | semidirect |
| 167. C22×C8 | C2×D59 | semidirect |
| 172. #121 | C2×D59 | semidirect |
| 177. #107 | C2×D59 | semidirect |
| 181. #102 | C2×D59 | semidirect |