Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #17986699 | C2 | semidirect |
| 2. #17986401 | C2 | semidirect |
| 3. #17986321 | C2 | semidirect |
| 4. #17986311 | C2 | semidirect |
| 5. #17986299 | C2 | semidirect |
| 6. #17986249 | C2 | semidirect |
| 7. #17986078 | C2 | semidirect |
| 8. #17986040 | C2 | semidirect |
| 9. C4×D8×C71 | C2 | semidirect |
| 103. C71 | #3355 | semidirect |
| 110. C4×D8 | D71 | semidirect |