Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14556161 | C2 | semidirect |
| 3. C22×#11765855 | C2 | semidirect |
| 4. #17986573 | C2 | semidirect |
| 5. #17986570 | C2 | semidirect |
| 6. #17986392 | C2 | semidirect |
| 7. #17986390 | C2 | semidirect |
| 8. #17986380 | C2 | semidirect |
| 9. #17986377 | C2 | semidirect |
| 10. #17985957 | C2 | semidirect |
| 11. C2×#137×C71 | C2 | semidirect |
| 144. C71 | #3156 | semidirect |
| 146. C2×#137 | D71 | semidirect |