Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
996 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 996 conjugacy classes of subgroups — too many to draw. Only its 197 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. C22×#11765853 | C2 | semidirect |
| 2. C2×#14556107 | C2 | semidirect |
| 3. #17986150 | C2 | direct (N × H) |
| 4. C2×#14556049 | C2 | semidirect |
| 5. C2×C22⋊(C71⋊C8) | C2 | semidirect |
| 7. C22×Dic142 | C22 | semidirect |
| 9. C2×#11765853 | C22 | semidirect |
| 10. C22×C71⋊C8 | C22 | semidirect |
| 12. #14556107 | C22 | semidirect |
| 13. C2×C4⋊Dic71 | C22 | semidirect |
| 16. #14556049 | C22 | semidirect |
| 17. C22⋊(C71⋊C8) | C22 | semidirect |
| 27. C2×Dic142 | C23 | semidirect |
| 32. C2×C71⋊C8 | C23 | semidirect |
| 34. C4⋊Dic71 | C23 | semidirect |
| 66. C23×C71 | SD16 | semidirect |
| 97. C22×C71 | C2×SD16 | semidirect |
| 107. C2×C71 | #450 | semidirect |
| 112. C71 | C2×#450 | semidirect |
| 178. C23 | #11765853 | semidirect |
| 209. C22 | C2×#11765853 | semidirect |
| 219. C2 | #17986150 | direct (N × H) |