Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
410 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16837811 | C2 | semidirect |
| 4. #16837791 | C2 | semidirect |
| 5. #16837767 | C2 | semidirect |
| 6. #16837762 | C2 | semidirect |
| 7. #16837638 | C2 | semidirect |
| 8. #16837631 | C2 | semidirect |
| 9. #16837515 | C2 | semidirect |
| 10. #16837504 | C2 | semidirect |
| 11. C2×#97×C59 | C2 | semidirect |
| 110. C8×C59 | #41 | semidirect |
| 148. C2×#97 | D59 | semidirect |
| 149. C59 | #3180 | semidirect |
| 248. C8 | #11745685 | semidirect |