Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986403 | C2 | semidirect |
| 3. #17986336 | C2 | semidirect |
| 4. #17986334 | C2 | semidirect |
| 5. #17986293 | C2 | semidirect |
| 6. #17986241 | C2 | semidirect |
| 7. #17986240 | C2 | semidirect |
| 8. #17986093 | C2 | semidirect |
| 10. #107×D71 | C2 | semidirect |
| 11. C2×#107×C71 | C2 | semidirect |
| 78. C22⋊D71 | Q16 | semidirect |
| 117. C71 | #3338 | semidirect |
| 128. C2×#107 | D71 | semidirect |