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×#14273753 | C2 | semidirect |
| 2. C2×#14273733 | C2 | semidirect |
| 3. #16837983 | C2 | semidirect |
| 4. #16837969 | C2 | semidirect |
| 5. #16837654 | C2 | semidirect |
| 6. #16837647 | C2 | semidirect |
| 7. #16837637 | C2 | semidirect |
| 8. #16837630 | C2 | semidirect |
| 9. #16837442 | C2 | semidirect |
| 10. #16837399 | C2 | semidirect |
| 11. C2×#102×C59 | C2 | semidirect |
| 19. C2×#11745659 | C22 | semidirect |
| 20. C2×C8×D59 | C22 | semidirect |
| 24. #14273707 | C22 | semidirect |
| 26. #14273702 | C22 | semidirect |
| 32. #14273660 | C22 | semidirect |
| 33. #14273658 | C22 | semidirect |
| 34. #14273652 | C22 | semidirect |
| 35. #14273652 | C22 | semidirect |
| 36. #14273649 | C22 | semidirect |
| 37. #14273649 | C22 | semidirect |
| 81. #11745664 | D4 | semidirect |
| 162. C2×#102 | D59 | semidirect |
| 163. C59 | #3062 | semidirect |