Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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×#14556154 | C2 | semidirect |
| 2. #17986545 | C2 | semidirect |
| 3. C2×D4×Dic71 | C2 | semidirect |
| 4. #17986216 | C2 | semidirect |
| 5. #17986212 | C2 | semidirect |
| 6. #17986202 | C2 | semidirect |
| 7. #17986192 | C2 | semidirect |
| 8. #17986022 | C2 | semidirect |
| 9. #17986001 | C2 | semidirect |
| 10. #17986000 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C71 | C2 | semidirect |
| 18. #14556126 | C22 | semidirect |
| 19. #14556124 | C22 | semidirect |
| 20. #14556117 | C22 | semidirect |
| 21. #14556115 | C22 | semidirect |
| 33. Dic71⋊C8 | C22 | semidirect |
| 34. Dic71⋊C8 | C22 | semidirect |
| 35. #14556053 | C22 | semidirect |
| 36. #14556052 | C22 | semidirect |
| 37. #14556050 | C22 | semidirect |
| 38. #14556049 | C22 | semidirect |
| 84. C2×D4×C71 | D4 | semidirect |
| 158. Dic71 | AGL(1,ℤ/8) | semidirect |
| 167. C71 | #3036 | semidirect |
| 169. C2×AGL(1,ℤ/8) | D71 | semidirect |
| 226. C2×D4 | C22⋊D71 | semidirect |