Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16837976 | C2 | semidirect |
| 3. #16837885 | C2 | semidirect |
| 4. #16837626 | C2 | semidirect |
| 5. #16837619 | C2 | semidirect |
| 6. #16837610 | C2 | semidirect |
| 7. #16837605 | C2 | semidirect |
| 8. #16837430 | C2 | semidirect |
| 9. #16837404 | C2 | semidirect |
| 10. C2×#14273651 | C2 | semidirect |
| 11. C2×#137×C59 | C2 | semidirect |
| 147. C2×#137 | D59 | semidirect |
| 158. C59 | #3046 | semidirect |