Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
492 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 492 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. C22×#11745660 | C2 | semidirect |
| 2. #16837973 | C2 | semidirect |
| 4. #16837648 | C2 | semidirect |
| 5. #16837631 | C2 | semidirect |
| 6. #16837440 | C2 | semidirect |
| 7. #16837412 | C2 | semidirect |
| 8. #16837408 | C2 | semidirect |
| 9. C2×#131×C59 | C2 | semidirect |
| 20. #14273706 | C22 | semidirect |
| 25. #14273661 | C22 | semidirect |
| 26. #14273659 | C22 | semidirect |
| 27. #14273652 | C22 | semidirect |
| 32. C2×M16×C59 | C22 | semidirect |
| 34. C22×C8×C59 | C22 | semidirect |
| 56. C2×C8×C59 | D4 | semidirect |
| 122. C2×#131 | D59 | semidirect |
| 130. C59 | #3057 | semidirect |
| 139. C2×M16 | C2×D59 | semidirect |
| 141. C22×C8 | C2×D59 | semidirect |
| 179. C2×C8 | C22⋊D59 | semidirect |