Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #17986600 | C2 | semidirect |
| 2. #17986400 | C2 | semidirect |
| 3. #17986374 | C2 | semidirect |
| 4. #17986362 | C2 | semidirect |
| 5. #17986251 | C2 | semidirect |
| 6. #17986236 | C2 | semidirect |
| 7. #17986232 | C2 | semidirect |
| 8. #17986109 | C2 | semidirect |
| 9. C4×D568 | C2 | semidirect |
| 10. #17985953 | C2 | semidirect |
| 11. C4×D8×C71 | C2 | semidirect |
| 124. C71 | #3176 | semidirect |
| 134. C4×D8 | D71 | semidirect |