Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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. #17986573 | C2 | semidirect |
| 4. #17986158 | C2 | semidirect |
| 5. #17986153 | C2 | semidirect |
| 6. #17986009 | C2 | semidirect |
| 7. #17985995 | C2 | semidirect |
| 8. #17985967 | C2 | semidirect |
| 9. C2×#137×C71 | C2 | semidirect |
| 141. C71 | #3011 | semidirect |
| 143. C2×#137 | D71 | semidirect |