Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986552 | C2 | semidirect |
| 3. #17986357 | C2 | semidirect |
| 4. #17986352 | C2 | semidirect |
| 5. #17986009 | C2 | semidirect |
| 6. #17986007 | C2 | semidirect |
| 8. M16×Dic71 | C2 | semidirect |
| 12. #14556127 | C22 | semidirect |
| 13. #14556119 | C22 | semidirect |
| 22. #14556053 | C22 | semidirect |
| 23. #14556051 | C22 | semidirect |
| 25. #14556038 | C22 | semidirect |
| 26. C8×Dic71 | C22 | semidirect |
| 105. C71 | #3140 | semidirect |