Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
490 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 2. C22×#11765853 | C2 | semidirect |
| 4. #17986476 | C2 | semidirect |
| 5. #17986220 | C2 | semidirect |
| 6. #17986198 | C2 | semidirect |
| 7. #17986027 | C2 | semidirect |
| 8. #17985993 | C2 | semidirect |
| 9. #418×C71 | C2 | semidirect |
| 13. C2×Dic284 | C22 | semidirect |
| 14. C2×#11765854 | C22 | semidirect |
| 23. #14556093 | C22 | semidirect |
| 26. Dic71⋊C8 | C22 | semidirect |
| 27. #14556051 | C22 | semidirect |
| 28. #14556048 | C22 | semidirect |
| 37. C2×Dic142 | D4 | semidirect |
| 117. C71 | #3043 | semidirect |
| 125. #418 | D71 | semidirect |