Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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. C2×#14556151 | C2 | semidirect |
| 2. C2×#14556134 | C2 | semidirect |
| 3. #17986579 | C2 | semidirect |
| 4. #17986248 | C2 | semidirect |
| 5. #17986247 | C2 | semidirect |
| 6. #17986237 | C2 | semidirect |
| 7. #17986236 | C2 | semidirect |
| 8. #17986235 | C2 | semidirect |
| 9. #107×D71 | C2 | semidirect |
| 10. #17985999 | C2 | semidirect |
| 11. #467×C71 | C2 | semidirect |
| 65. C8×D71 | D4 | semidirect |
| 144. C71 | #3061 | semidirect |
| 151. #467 | D71 | semidirect |