Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 1. #17986650 | C2 | semidirect |
| 2. #17986403 | C2 | semidirect |
| 3. #17986314 | C2 | semidirect |
| 4. #17986312 | C2 | semidirect |
| 5. #17986278 | C2 | semidirect |
| 6. #17986236 | C2 | semidirect |
| 7. #17986235 | C2 | semidirect |
| 8. #17986081 | C2 | semidirect |
| 9. C8×C22⋊D71 | C2 | semidirect |
| 10. #107×D71 | C2 | semidirect |
| 11. C2×#107×C71 | C2 | semidirect |
| 81. C22⋊D71 | D8 | semidirect |
| 95. C8×C71 | #41 | semidirect |
| 124. C71 | #3334 | semidirect |
| 135. C2×#107 | D71 | semidirect |
| 221. C8 | #11765865 | semidirect |