Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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. #16837948 | C2 | semidirect |
| 3. C2×D4×Dic59 | C2 | semidirect |
| 4. #16837619 | C2 | semidirect |
| 5. #16837615 | C2 | semidirect |
| 6. #16837605 | C2 | semidirect |
| 7. #16837595 | C2 | semidirect |
| 8. #16837425 | C2 | semidirect |
| 9. #16837404 | C2 | semidirect |
| 10. #16837403 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C59 | C2 | semidirect |
| 18. #14273725 | C22 | semidirect |
| 19. #14273723 | C22 | semidirect |
| 20. #14273716 | C22 | semidirect |
| 21. #14273714 | C22 | semidirect |
| 33. Dic59⋊C8 | C22 | semidirect |
| 34. Dic59⋊C8 | C22 | semidirect |
| 35. #14273652 | C22 | semidirect |
| 36. #14273651 | C22 | semidirect |
| 37. #14273649 | C22 | semidirect |
| 38. #14273648 | C22 | semidirect |
| 52. C2×D4×C59 | D4 | semidirect |
| 158. Dic59 | AGL(1,ℤ/8) | semidirect |
| 168. C2×AGL(1,ℤ/8) | D59 | semidirect |
| 178. C59 | #3036 | semidirect |
| 226. C2×D4 | C22⋊D59 | semidirect |