Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#14273752 | C2 | semidirect |
| 2. C2×#14273733 | C2 | semidirect |
| 3. #16837980 | C2 | semidirect |
| 4. #16837971 | C2 | semidirect |
| 5. #16837654 | C2 | semidirect |
| 6. #16837651 | C2 | semidirect |
| 7. #16837637 | C2 | semidirect |
| 8. #16837634 | C2 | semidirect |
| 9. #16837445 | C2 | semidirect |
| 10. C2×#14273649 | C2 | semidirect |
| 11. C59×#416 | C2 | semidirect |
| 19. C2×#11745659 | C22 | semidirect |
| 20. C2×C8×D59 | C22 | semidirect |
| 24. #14273703 | C22 | semidirect |
| 29. #14273698 | C22 | semidirect |
| 32. #14273660 | C22 | semidirect |
| 33. #14273658 | C22 | semidirect |
| 39. #103×C59 | C22 | semidirect |
| 40. #103×C59 | C22 | semidirect |
| 41. #102×C59 | C22 | semidirect |
| 42. #102×C59 | C22 | semidirect |
| 81. #11745664 | D4 | semidirect |
| 161. #416 | D59 | semidirect |
| 163. C59 | #3062 | semidirect |
| 189. #103 | C2×D59 | semidirect |
| 190. #103 | C2×D59 | semidirect |
| 193. #102 | C2×D59 | semidirect |
| 194. #102 | C2×D59 | semidirect |