Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 145 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×#14556175 | C2 | semidirect |
| 2. #17986797 | C2 | semidirect |
| 3. #17986570 | C2 | semidirect |
| 4. #17986180 | C2 | semidirect |
| 5. #17986170 | C2 | semidirect |
| 6. #17986016 | C2 | semidirect |
| 7. #17986015 | C2 | semidirect |
| 8. C2×#14556046 | C2 | semidirect |
| 9. #575×C71 | C2 | semidirect |
| 21. #14556159 | C22 | semidirect |
| 23. #14556154 | C22 | semidirect |
| 27. #14556126 | C22 | semidirect |
| 28. #14556115 | C22 | semidirect |
| 32. #14556055 | C22 | semidirect |
| 33. #14556054 | C22 | semidirect |
| 34. #14556046 | C22 | semidirect |
| 38. #137×C71 | C22 | semidirect |
| 40. AGL(1,ℤ/8)×C71 | C22 | semidirect |
| 186. C71 | #3020 | semidirect |
| 189. #575 | D71 | semidirect |
| 212. #137 | C2×D71 | semidirect |
| 216. AGL(1,ℤ/8) | C2×D71 | semidirect |