Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 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×#14556153 | C2 | semidirect |
| 2. C22×D568 | C2 | semidirect |
| 3. #17986563 | C2 | semidirect |
| 4. #17986473 | C2 | semidirect |
| 5. #17986217 | C2 | semidirect |
| 6. #17986193 | C2 | semidirect |
| 7. #17986025 | C2 | semidirect |
| 8. #17986003 | C2 | semidirect |
| 9. #416×C71 | C2 | semidirect |
| 13. C2×#11765852 | C22 | semidirect |
| 16. C2×#11765850 | C22 | semidirect |
| 18. #14556124 | C22 | semidirect |
| 19. #14556117 | C22 | semidirect |
| 23. #14556090 | C22 | semidirect |
| 26. Dic71⋊C8 | C22 | semidirect |
| 27. #14556048 | C22 | semidirect |
| 31. #103×C71 | C22 | semidirect |
| 32. #102×C71 | C22 | semidirect |
| 40. C2×D284 | D4 | semidirect |
| 122. C71 | #3041 | semidirect |
| 131. #416 | D71 | semidirect |
| 152. #103 | C2×D71 | semidirect |
| 154. #102 | C2×D71 | semidirect |