Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556161 | C2 | semidirect |
| 2. C2×#14556148 | C2 | semidirect |
| 3. C22×#11765853 | C2 | semidirect |
| 4. #17986570 | C2 | semidirect |
| 5. #17986566 | C2 | semidirect |
| 6. #17986390 | C2 | semidirect |
| 7. #17986387 | C2 | semidirect |
| 8. #17986382 | C2 | semidirect |
| 9. #17986370 | C2 | semidirect |
| 10. #17985957 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C71 | C2 | semidirect |
| 16. C2×Dic284 | C22 | semidirect |
| 17. C2×#11765855 | C22 | semidirect |
| 18. C2×#11765854 | C22 | semidirect |
| 22. C2×#11765853 | C22 | semidirect |
| 23. C2×#11765852 | C22 | semidirect |
| 24. C2×#11765850 | C22 | semidirect |
| 26. #14556126 | C22 | semidirect |
| 29. #14556115 | C22 | semidirect |
| 35. #14556038 | C22 | semidirect |
| 36. C8×Dic71 | C22 | semidirect |
| 63. C2×C71⋊C8 | D4 | semidirect |
| 86. M16×C71 | D4 | semidirect |
| 149. C71 | #3154 | semidirect |
| 151. C2×AGL(1,ℤ/8) | D71 | semidirect |
| 226. M16 | C22⋊D71 | semidirect |