Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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. C2×#14273747 | C2 | semidirect |
| 2. #16837969 | C2 | semidirect |
| 3. #16837885 | C2 | semidirect |
| 4. #16837622 | C2 | semidirect |
| 5. #16837615 | C2 | semidirect |
| 6. #16837600 | C2 | semidirect |
| 7. #16837595 | C2 | semidirect |
| 8. #16837430 | C2 | semidirect |
| 9. #16837404 | C2 | semidirect |
| 10. C2×#14273648 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C59 | C2 | semidirect |
| 14. C2×#11745672 | C22 | semidirect |
| 15. C2×#11745670 | C22 | semidirect |
| 16. C2×#11745671 | C22 | semidirect |
| 17. C2×#11745669 | C22 | semidirect |
| 24. Q8×Dic59 | C22 | semidirect |
| 26. D4×Dic59 | C22 | semidirect |
| 31. Dic59⋊C8 | C22 | semidirect |
| 32. Dic59⋊C8 | C22 | semidirect |
| 33. #14273652 | C22 | semidirect |
| 34. #14273649 | C22 | semidirect |
| 45. #41×C59 | D4 | semidirect |
| 155. C2×AGL(1,ℤ/8) | D59 | semidirect |
| 166. C59 | #3045 | semidirect |
| 202. #41 | C22⋊D59 | semidirect |