Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 1. C22×#11765852 | C2 | semidirect |
| 2. C2×#14556135 | C2 | semidirect |
| 4. #17986247 | C2 | semidirect |
| 5. #17986230 | C2 | semidirect |
| 6. #17986035 | C2 | semidirect |
| 7. #17986008 | C2 | semidirect |
| 8. #17986003 | C2 | semidirect |
| 9. #536×C71 | C2 | semidirect |
| 16. C2×#11765849 | C22 | semidirect |
| 18. C22×C71⋊C8 | C22 | semidirect |
| 24. #14556061 | C22 | semidirect |
| 25. #14556059 | C22 | semidirect |
| 26. #14556052 | C22 | semidirect |
| 33. C22⋊Q8×C71 | C22 | semidirect |
| 46. C2×C71⋊C8 | D4 | semidirect |
| 121. C71 | #3057 | semidirect |
| 124. #536 | D71 | semidirect |
| 147. C22⋊Q8 | C2×D71 | semidirect |