Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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. C2×#14556134 | C2 | semidirect |
| 2. #17986573 | C2 | semidirect |
| 4. #17986242 | C2 | semidirect |
| 5. #17986225 | C2 | semidirect |
| 6. #17986037 | C2 | semidirect |
| 7. #17986008 | C2 | semidirect |
| 8. #17986004 | C2 | semidirect |
| 9. C22×SD16×C71 | C2 | semidirect |
| 13. C2×#11765848 | C22 | semidirect |
| 14. C2×C8×D71 | C22 | semidirect |
| 20. #14556104 | C22 | semidirect |
| 25. #14556062 | C22 | semidirect |
| 26. #14556060 | C22 | semidirect |
| 27. #14556052 | C22 | semidirect |
| 68. C2×C8×C71 | D4 | semidirect |
| 121. C71 | #3057 | semidirect |
| 122. C22×SD16 | D71 | semidirect |
| 180. C2×C8 | C22⋊D71 | semidirect |