Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #17986614 | C2 | semidirect |
| 2. #17986403 | C2 | semidirect |
| 3. #17986382 | C2 | semidirect |
| 4. #17986357 | C2 | semidirect |
| 5. #17986244 | C2 | semidirect |
| 6. #17986241 | C2 | semidirect |
| 8. #17986099 | C2 | semidirect |
| 9. C4×Dic284 | C2 | semidirect |
| 10. #17985953 | C2 | semidirect |
| 11. C4×D8×C71 | C2 | semidirect |
| 118. C71 | #3175 | semidirect |
| 128. C4×D8 | D71 | semidirect |