Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 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 |
|---|---|---|
| 2. C22×#11765854 | C2 | semidirect |
| 3. #17986570 | C2 | semidirect |
| 4. #17986473 | C2 | semidirect |
| 5. #17986213 | C2 | semidirect |
| 6. #17986203 | C2 | semidirect |
| 7. #17986025 | C2 | semidirect |
| 8. #17986007 | C2 | semidirect |
| 9. #416×C71 | C2 | semidirect |
| 18. #14556126 | C22 | semidirect |
| 19. #14556115 | C22 | semidirect |
| 26. Dic71⋊C8 | C22 | semidirect |
| 27. #14556051 | C22 | semidirect |
| 31. #103×C71 | C22 | semidirect |
| 32. #102×C71 | C22 | semidirect |
| 117. C71 | #3042 | semidirect |
| 126. #416 | D71 | semidirect |
| 148. #103 | C2×D71 | semidirect |
| 149. #102 | C2×D71 | semidirect |