Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#14556153 | C2 | semidirect |
| 3. #17986766 | C2 | semidirect |
| 4. #17986267 | C2 | semidirect |
| 5. #17986264 | C2 | semidirect |
| 6. #17986047 | C2 | semidirect |
| 7. #17985983 | C2 | semidirect |
| 8. C2×#14556044 | C2 | semidirect |
| 9. #575×C71 | C2 | semidirect |
| 16. C2×#11765852 | C22 | semidirect |
| 18. C2×#11765850 | C22 | semidirect |
| 20. #14556135 | C22 | semidirect |
| 25. #14556063 | C22 | semidirect |
| 26. #14556047 | C22 | semidirect |
| 27. #14556045 | C22 | semidirect |
| 28. #14556044 | C22 | semidirect |
| 32. #137×C71 | C22 | semidirect |
| 34. AGL(1,ℤ/8)×C71 | C22 | semidirect |
| 148. C71 | #3068 | semidirect |
| 149. #575 | D71 | semidirect |
| 162. #137 | C2×D71 | semidirect |
| 168. AGL(1,ℤ/8) | C2×D71 | semidirect |