Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17986701 | C2 | semidirect |
| 2. #17986400 | C2 | semidirect |
| 3. #17986321 | C2 | semidirect |
| 4. #17986315 | C2 | semidirect |
| 5. #17986297 | C2 | semidirect |
| 6. #17986232 | C2 | semidirect |
| 7. D8×Dic71 | C2 | semidirect |
| 8. C8×C22⋊D71 | C2 | semidirect |
| 9. #17986036 | C2 | semidirect |
| 10. C2×#14556062 | C2 | semidirect |
| 11. #466×C71 | C2 | semidirect |
| 121. C71 | #3339 | semidirect |
| 128. #466 | D71 | semidirect |