Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14273752 | C2 | semidirect |
| 2. C2×#14273752 | C2 | semidirect |
| 3. #16838169 | C2 | semidirect |
| 4. #16837670 | C2 | semidirect |
| 5. #16837667 | C2 | semidirect |
| 6. #16837450 | C2 | semidirect |
| 7. #16837386 | C2 | semidirect |
| 8. C2×#14273643 | C2 | semidirect |
| 9. C59×#575 | C2 | semidirect |
| 16. C2×#11745671 | C22 | semidirect |
| 18. C2×#11745669 | C22 | semidirect |
| 20. #14273734 | C22 | semidirect |
| 25. #14273662 | C22 | semidirect |
| 26. #14273646 | C22 | semidirect |
| 27. #14273644 | C22 | semidirect |
| 28. #14273643 | C22 | semidirect |
| 32. #137×C59 | C22 | semidirect |
| 34. AGL(1,ℤ/8)×C59 | C22 | semidirect |
| 148. #575 | D59 | semidirect |
| 157. C59 | #3068 | semidirect |
| 162. #137 | C2×D59 | semidirect |
| 168. AGL(1,ℤ/8) | C2×D59 | semidirect |