Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
760 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#11765855 | C2 | semidirect |
| 3. C22×#11765852 | C2 | semidirect |
| 4. #17986159 | C2 | direct (N × H) |
| 5. C2×#14556051 | C2 | semidirect |
| 6. C2×#14556048 | C2 | semidirect |
| 7. C2×C22⋊(C71⋊C8) | C2 | semidirect |
| 8. C2×C22⋊Q8×C71 | C2 | semidirect |
| 18. C2×#11765855 | C22 | semidirect |
| 20. C2×#11765852 | C22 | semidirect |
| 23. #14556051 | C22 | semidirect |
| 24. #14556048 | C22 | semidirect |
| 25. C22⋊(C71⋊C8) | C22 | semidirect |
| 29. C22⋊Q8×C71 | C22 | semidirect |
| 130. C2×C71 | #452 | semidirect |
| 136. C71 | C2×#452 | semidirect |
| 140. C2×C22⋊Q8 | D71 | semidirect |
| 162. C22⋊Q8 | C2×D71 | semidirect |
| 267. C2 | #17986159 | direct (N × H) |