Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 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 |
|---|---|---|
| 2. C2×#14556126 | C2 | semidirect |
| 3. #17986370 | C2 | semidirect |
| 4. #17986348 | C2 | semidirect |
| 5. #17986203 | C2 | semidirect |
| 6. #17986202 | C2 | semidirect |
| 7. #17986140 | C2 | semidirect |
| 8. #17986138 | C2 | semidirect |
| 9. #17986137 | C2 | semidirect |
| 10. #17986049 | C2 | semidirect |
| 11. #448×C71 | C2 | semidirect |
| 107. C2×Dic71 | SD16 | semidirect |
| 147. C71 | #3206 | semidirect |
| 157. #448 | D71 | semidirect |