Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17986734 | C2 | semidirect |
| 2. #17986719 | C2 | semidirect |
| 3. #17986380 | C2 | semidirect |
| 4. #17986372 | C2 | semidirect |
| 5. #17986224 | C2 | semidirect |
| 6. #17986213 | C2 | semidirect |
| 7. #17986209 | C2 | semidirect |
| 9. C8×Dic142 | C2 | semidirect |
| 10. #17986086 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 126. C71 | #3394 | semidirect |
| 137. C4×SD16 | D71 | semidirect |