Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 157 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×#11765850 | C2 | semidirect |
| 2. C22×#11765849 | C2 | semidirect |
| 3. C2×#14556102 | C2 | semidirect |
| 4. #17986250 | C2 | direct (N × H) |
| 5. C2×#14556059 | C2 | semidirect |
| 6. C2×#14556049 | C2 | semidirect |
| 7. C2×#14556048 | C2 | semidirect |
| 8. C2×#121×C71 | C2 | semidirect |
| 12. C2×#11765850 | C22 | semidirect |
| 14. C2×#11765849 | C22 | semidirect |
| 18. #14556102 | C22 | semidirect |
| 21. #14556059 | C22 | semidirect |
| 22. #14556049 | C22 | semidirect |
| 23. #14556048 | C22 | semidirect |
| 28. #121×C71 | C22 | semidirect |
| 42. C2×C71⋊C8 | D4 | semidirect |
| 101. C71⋊C8 | C2×D4 | semidirect |
| 126. C2×C71 | #469 | semidirect |
| 132. C71 | C2×#469 | semidirect |
| 136. C2×#121 | D71 | semidirect |
| 155. #121 | C2×D71 | semidirect |
| 259. C2 | #17986250 | direct (N × H) |