Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17986549 | C2 | semidirect |
| 2. #17986381 | C2 | semidirect |
| 3. #17986356 | C2 | semidirect |
| 4. #17986209 | C2 | semidirect |
| 5. #17986204 | C2 | semidirect |
| 6. #17986199 | C2 | semidirect |
| 7. #17986194 | C2 | semidirect |
| 8. #17986159 | C2 | semidirect |
| 9. #17986142 | C2 | semidirect |
| 10. #17986052 | C2 | semidirect |
| 11. #529×C71 | C2 | semidirect |
| 145. C71 | #3212 | semidirect |
| 147. #529 | D71 | semidirect |