Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 123 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. #17986719 | C2 | semidirect |
| 3. #17986346 | C2 | semidirect |
| 4. #17986324 | C2 | semidirect |
| 5. #17986285 | C2 | semidirect |
| 6. #17986228 | C2 | semidirect |
| 7. #17986200 | C2 | semidirect |
| 8. #17986163 | C2 | semidirect |
| 9. C4×Dic284 | C2 | semidirect |
| 10. #17985996 | C2 | semidirect |
| 11. C8×D4×C71 | C2 | semidirect |
| 128. C71 | #3304 | semidirect |
| 138. C8×D4 | D71 | semidirect |