Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14556147 | C2 | semidirect |
| 2. C22×Dic284 | C2 | semidirect |
| 3. #17986655 | C2 | semidirect |
| 4. #17986382 | C2 | semidirect |
| 5. #17986241 | C2 | semidirect |
| 6. #17986220 | C2 | semidirect |
| 7. #17986162 | C2 | semidirect |
| 8. #17986137 | C2 | semidirect |
| 9. #17986093 | C2 | semidirect |
| 10. C8×C22⋊D71 | C2 | semidirect |
| 11. #466×C71 | C2 | semidirect |
| 55. Dic284 | D4 | semidirect |
| 116. C22×C71 | #135 | semidirect |
| 137. C71 | #3285 | semidirect |
| 143. #466 | D71 | semidirect |
| 256. C22 | #14556147 | semidirect |