Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#11745669 | C2 | semidirect |
| 2. #16837966 | C2 | semidirect |
| 3. #16837877 | C2 | semidirect |
| 4. #16837619 | C2 | semidirect |
| 5. #16837595 | C2 | semidirect |
| 6. #16837430 | C2 | semidirect |
| 7. #16837408 | C2 | semidirect |
| 8. #16837398 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C59 | C2 | semidirect |
| 14. #14273723 | C22 | semidirect |
| 15. #14273716 | C22 | semidirect |
| 19. D4×Dic59 | C22 | semidirect |
| 23. Dic59⋊C8 | C22 | semidirect |
| 24. #14273651 | C22 | semidirect |
| 25. #14273649 | C22 | semidirect |
| 26. #14273648 | C22 | semidirect |
| 30. C2×SD16×C59 | C22 | semidirect |
| 31. C2×D8×C59 | C22 | semidirect |
| 41. C2×D4×C59 | D4 | semidirect |
| 122. C2×AGL(1,ℤ/8) | D59 | semidirect |
| 131. C59 | #3041 | semidirect |
| 136. C2×SD16 | C2×D59 | semidirect |
| 139. C2×D8 | C2×D59 | semidirect |
| 168. C2×D4 | C22⋊D59 | semidirect |