Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 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. #17986533 | C2 | semidirect |
| 2. #17986401 | C2 | semidirect |
| 3. #17986383 | C2 | semidirect |
| 4. #17986354 | C2 | semidirect |
| 5. #17986257 | C2 | semidirect |
| 7. #17986245 | C2 | semidirect |
| 8. #17986112 | C2 | semidirect |
| 9. #17986107 | C2 | semidirect |
| 10. #17986101 | C2 | semidirect |
| 11. C4×M16×C71 | C2 | semidirect |
| 110. C71 | #3183 | semidirect |
| 121. C4×M16 | D71 | semidirect |