Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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. C22×#11765850 | C2 | semidirect |
| 2. #17986563 | C2 | semidirect |
| 3. #17986474 | C2 | semidirect |
| 4. #17986216 | C2 | semidirect |
| 5. #17986192 | C2 | semidirect |
| 6. #17986027 | C2 | semidirect |
| 7. #17986005 | C2 | semidirect |
| 8. #17985995 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C71 | C2 | semidirect |
| 14. #14556124 | C22 | semidirect |
| 15. #14556117 | C22 | semidirect |
| 19. D4×Dic71 | C22 | semidirect |
| 23. Dic71⋊C8 | C22 | semidirect |
| 24. #14556052 | C22 | semidirect |
| 25. #14556050 | C22 | semidirect |
| 26. #14556049 | C22 | semidirect |
| 30. C2×SD16×C71 | C22 | semidirect |
| 31. C2×D8×C71 | C22 | semidirect |
| 58. C2×D4×C71 | D4 | semidirect |
| 122. C71 | #3041 | semidirect |
| 123. C2×AGL(1,ℤ/8) | D71 | semidirect |
| 136. C2×SD16 | C2×D71 | semidirect |
| 139. C2×D8 | C2×D71 | semidirect |
| 168. C2×D4 | C22⋊D71 | semidirect |