Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 500 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×#14273749 | C2 | semidirect |
| 2. #16837913 | C2 | semidirect |
| 3. #16837660 | C2 | semidirect |
| 4. #16837655 | C2 | semidirect |
| 5. #16837648 | C2 | semidirect |
| 6. #16837440 | C2 | semidirect |
| 7. #16837399 | C2 | semidirect |
| 8. C22×M16×C59 | C2 | semidirect |
| 11. C2×Dic236 | C22 | semidirect |
| 12. C2×#11745660 | C22 | semidirect |
| 13. C2×D472 | C22 | semidirect |
| 20. #14273661 | C22 | semidirect |
| 21. #14273659 | C22 | semidirect |
| 22. #14273652 | C22 | semidirect |
| 23. #14273649 | C22 | semidirect |
| 47. C2×C8×C59 | D4 | semidirect |
| 107. C22×M16 | D59 | semidirect |
| 114. C59 | #3054 | semidirect |
| 156. C2×C8 | C22⋊D59 | semidirect |