Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14556161 | C2 | semidirect |
| 3. C2×#14556161 | C2 | semidirect |
| 4. #17986765 | C2 | semidirect |
| 5. #17986275 | C2 | semidirect |
| 6. #17986263 | C2 | semidirect |
| 7. #17985981 | C2 | semidirect |
| 8. C2×#14556046 | C2 | semidirect |
| 9. #430×C71 | C2 | semidirect |
| 23. C2×Dic284 | C22 | semidirect |
| 25. C2×#11765854 | C22 | semidirect |
| 30. #14556046 | C22 | semidirect |
| 31. #14556046 | C22 | semidirect |
| 32. #14556044 | C22 | semidirect |
| 36. #108×C71 | C22 | semidirect |
| 143. C71 | #3069 | semidirect |
| 150. #430 | D71 | semidirect |
| 176. #108 | C2×D71 | semidirect |