Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
584 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14273755 | C2 | semidirect |
| 2. C2×#14273753 | C2 | semidirect |
| 3. C2×#14273723 | C2 | semidirect |
| 4. #16837870 | C2 | semidirect |
| 5. #16837601 | C2 | semidirect |
| 6. #16837596 | C2 | semidirect |
| 7. #16837425 | C2 | semidirect |
| 8. #16837406 | C2 | semidirect |
| 9. C59×#418 | C2 | semidirect |
| 15. C2×#11745660 | C22 | semidirect |
| 16. C2×#11745670 | C22 | semidirect |
| 17. C2×D472 | C22 | semidirect |
| 18. C2×#11745669 | C22 | semidirect |
| 23. #14273692 | C22 | semidirect |
| 24. #14273689 | C22 | semidirect |
| 29. Dic59⋊C8 | C22 | semidirect |
| 30. #14273647 | C22 | semidirect |
| 34. #102×C59 | C22 | semidirect |
| 48. #11745685 | D4 | semidirect |
| 101. D236 | C2×D4 | semidirect |
| 105. Dic118 | C2×D4 | semidirect |
| 125. Dic59 | AGL(1,ℤ/8) | semidirect |
| 141. #418 | D59 | semidirect |
| 142. C59 | #3038 | semidirect |
| 167. #102 | C2×D59 | semidirect |