Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 2. C2×#14273726 | C2 | semidirect |
| 3. #16837763 | C2 | semidirect |
| 4. #16837760 | C2 | semidirect |
| 5. #16837751 | C2 | semidirect |
| 6. #16837747 | C2 | semidirect |
| 7. #16837404 | C2 | semidirect |
| 8. #16837403 | C2 | semidirect |
| 9. #16837401 | C2 | semidirect |
| 10. M16×Dic59 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 159. #417 | D59 | semidirect |
| 161. C59 | #3141 | semidirect |