Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14556119 | C2 | semidirect |
| 3. #17986362 | C2 | direct (N × H) |
| 4. C2×#14556050 | C2 | semidirect |
| 5. C2×#14556049 | C2 | semidirect |
| 6. C2×#14556048 | C2 | semidirect |
| 7. C2×#14556038 | C2 | semidirect |
| 8. C2×#102×C71 | C2 | semidirect |
| 16. #14556119 | C22 | semidirect |
| 21. #14556050 | C22 | semidirect |
| 22. #14556049 | C22 | semidirect |
| 23. #14556048 | C22 | semidirect |
| 24. #14556038 | C22 | semidirect |
| 28. #102×C71 | C22 | semidirect |
| 111. C2×C71 | #490 | semidirect |
| 117. C71 | C2×#490 | semidirect |
| 124. C2×#102 | D71 | semidirect |
| 144. #102 | C2×D71 | semidirect |
| 229. C2 | #17986362 | direct (N × H) |