Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
504 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 149 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. #16837980 | C2 | semidirect |
| 3. #16837966 | C2 | semidirect |
| 4. #16837655 | C2 | semidirect |
| 5. #16837648 | C2 | semidirect |
| 6. #16837638 | C2 | semidirect |
| 7. #16837631 | C2 | semidirect |
| 8. #16837444 | C2 | semidirect |
| 9. #16837399 | C2 | semidirect |
| 10. C2×#14273649 | C2 | semidirect |
| 11. C2×#131×C59 | C2 | semidirect |
| 19. #14273706 | C22 | semidirect |
| 23. #14273701 | C22 | semidirect |
| 29. #14273661 | C22 | semidirect |
| 30. #14273659 | C22 | semidirect |
| 31. #14273652 | C22 | semidirect |
| 32. #14273652 | C22 | semidirect |
| 35. #14273649 | C22 | semidirect |
| 36. #14273649 | C22 | semidirect |
| 40. C2×M16×C59 | C22 | semidirect |
| 42. C22×C8×C59 | C22 | semidirect |
| 66. M16×C59 | D4 | semidirect |
| 153. C2×#131 | D59 | semidirect |
| 163. C59 | #3062 | semidirect |
| 172. C2×M16 | C2×D59 | semidirect |
| 174. C22×C8 | C2×D59 | semidirect |
| 220. M16 | C22⋊D59 | semidirect |