Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 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. C2×#14556135 | C2 | semidirect |
| 3. #17986577 | C2 | semidirect |
| 4. #17986255 | C2 | semidirect |
| 5. #17986250 | C2 | semidirect |
| 6. #17986230 | C2 | semidirect |
| 7. #17986226 | C2 | semidirect |
| 8. C2×#14556059 | C2 | semidirect |
| 9. #17986000 | C2 | semidirect |
| 10. #17985998 | C2 | semidirect |
| 11. #537×C71 | C2 | semidirect |
| 58. C2×C71⋊C8 | D4 | semidirect |
| 153. C71 | #3060 | semidirect |
| 157. #537 | D71 | semidirect |