Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
420 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 2. C2×#14556104 | C2 | semidirect |
| 3. #17986338 | C2 | semidirect |
| 4. #17986330 | C2 | semidirect |
| 5. #17986310 | C2 | semidirect |
| 6. #17986239 | C2 | semidirect |
| 7. #17986225 | C2 | semidirect |
| 8. #17986158 | C2 | semidirect |
| 9. #17986155 | C2 | semidirect |
| 10. C22⋊C8×D71 | C2 | semidirect |
| 11. #448×C71 | C2 | semidirect |
| 14. C2×#11765855 | C22 | semidirect |
| 31. #14556061 | C22 | semidirect |
| 32. #14556060 | C22 | semidirect |
| 33. #14556053 | C22 | semidirect |
| 34. #14556052 | C22 | semidirect |
| 35. #14556049 | C22 | semidirect |
| 39. C2×SD16×C71 | C22 | semidirect |
| 41. #103×C71 | C22 | semidirect |
| 150. C71 | #3190 | semidirect |
| 160. #448 | D71 | semidirect |
| 166. C2×SD16 | C2×D71 | semidirect |
| 188. #103 | C2×D71 | semidirect |