Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
352 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16838122 | C2 | semidirect |
| 3. #16837800 | C2 | semidirect |
| 4. #16837744 | C2 | semidirect |
| 5. #16837727 | C2 | semidirect |
| 6. #16837698 | C2 | semidirect |
| 7. #16837683 | C2 | semidirect |
| 8. #16837631 | C2 | semidirect |
| 9. C4×#11745660 | C2 | semidirect |
| 10. #16837440 | C2 | semidirect |
| 11. C8×D4×C59 | C2 | semidirect |
| 130. C8×D4 | D59 | semidirect |
| 132. C59 | #3340 | semidirect |