Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
484 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 123 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×#14556150 | C2 | semidirect |
| 3. #17986651 | C2 | semidirect |
| 4. #17986377 | C2 | semidirect |
| 5. #17986241 | C2 | semidirect |
| 6. #17986203 | C2 | semidirect |
| 7. #17986164 | C2 | semidirect |
| 8. #17986159 | C2 | semidirect |
| 9. #17986081 | C2 | semidirect |
| 10. C8×C22⋊D71 | C2 | semidirect |
| 11. #467×C71 | C2 | semidirect |
| 58. D568 | D4 | semidirect |
| 129. Dic71 | #135 | semidirect |
| 137. C71 | #3283 | semidirect |
| 143. #467 | D71 | semidirect |