Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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×#14556148 | C2 | semidirect |
| 2. #17986566 | C2 | semidirect |
| 3. #17986482 | C2 | semidirect |
| 4. #17986219 | C2 | semidirect |
| 5. #17986212 | C2 | semidirect |
| 6. #17986197 | C2 | semidirect |
| 7. #17986192 | C2 | semidirect |
| 8. #17986027 | C2 | semidirect |
| 9. #17986001 | C2 | semidirect |
| 10. C2×#14556049 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C71 | C2 | semidirect |
| 14. C2×#11765855 | C22 | semidirect |
| 15. C2×#11765853 | C22 | semidirect |
| 16. C2×#11765852 | C22 | semidirect |
| 17. C2×#11765850 | C22 | semidirect |
| 24. Q8×Dic71 | C22 | semidirect |
| 26. D4×Dic71 | C22 | semidirect |
| 31. Dic71⋊C8 | C22 | semidirect |
| 32. Dic71⋊C8 | C22 | semidirect |
| 33. #14556053 | C22 | semidirect |
| 34. #14556050 | C22 | semidirect |
| 73. #41×C71 | D4 | semidirect |
| 155. C71 | #3045 | semidirect |
| 156. C2×AGL(1,ℤ/8) | D71 | semidirect |
| 202. #41 | C22⋊D71 | semidirect |