Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 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×#11765853 | C2 | semidirect |
| 2. #17986570 | C2 | semidirect |
| 3. #17986474 | C2 | semidirect |
| 4. #17986212 | C2 | semidirect |
| 5. #17986202 | C2 | semidirect |
| 6. #17986027 | C2 | semidirect |
| 7. #17986009 | C2 | semidirect |
| 8. #17985995 | C2 | semidirect |
| 14. #14556126 | C22 | semidirect |
| 15. #14556115 | C22 | semidirect |
| 23. Dic71⋊C8 | C22 | semidirect |
| 24. #14556053 | C22 | semidirect |
| 25. #14556052 | C22 | semidirect |
| 26. #14556049 | C22 | semidirect |
| 117. C71 | #3042 | semidirect |