Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 3. #17986570 | C2 | semidirect |
| 4. #17986480 | C2 | semidirect |
| 5. #17986220 | C2 | semidirect |
| 6. #17986213 | C2 | semidirect |
| 7. #17986208 | C2 | semidirect |
| 8. #17986203 | C2 | semidirect |
| 9. #17986027 | C2 | semidirect |
| 10. C2×#14556051 | C2 | semidirect |
| 11. #417×C71 | C2 | semidirect |
| 147. C71 | #3046 | semidirect |
| 157. #417 | D71 | semidirect |