Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986722 | C2 | semidirect |
| 2. #17986361 | C2 | semidirect |
| 3. #17986351 | C2 | semidirect |
| 4. #17986291 | C2 | semidirect |
| 5. #17986276 | C2 | semidirect |
| 7. #17986204 | C2 | semidirect |
| 8. #17986130 | C2 | semidirect |
| 9. #17986099 | C2 | semidirect |
| 11. D4×Q8×C71 | C2 | semidirect |
| 123. C71 | #3367 | semidirect |
| 125. D4×Q8 | D71 | semidirect |