Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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. #16837952 | C2 | semidirect |
| 2. #16837936 | C2 | semidirect |
| 3. #16837703 | C2 | semidirect |
| 4. #16837698 | C2 | semidirect |
| 5. #16837693 | C2 | semidirect |
| 6. #16837638 | C2 | semidirect |
| 7. #16837631 | C2 | semidirect |
| 8. #16837618 | C2 | semidirect |
| 9. #16837603 | C2 | semidirect |
| 10. #16837598 | C2 | semidirect |
| 11. C2×C4⋊C8×C59 | C2 | semidirect |
| 152. C2×C4⋊C8 | D59 | semidirect |
| 153. C59 | #3247 | semidirect |