Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
544 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#11765852 | C2 | semidirect |
| 2. C22×#11765848 | C2 | semidirect |
| 3. C2×#14556104 | C2 | semidirect |
| 5. #17986248 | C2 | direct (N × H) |
| 6. C2×#14556061 | C2 | semidirect |
| 7. C2×#14556050 | C2 | semidirect |
| 8. C2×#103×C71 | C2 | semidirect |
| 13. C2×#11765852 | C22 | semidirect |
| 15. C2×#11765848 | C22 | semidirect |
| 18. #14556104 | C22 | semidirect |
| 25. #14556061 | C22 | semidirect |
| 26. #14556050 | C22 | semidirect |
| 30. #103×C71 | C22 | semidirect |
| 47. C2×C71⋊C8 | D4 | semidirect |
| 97. C71⋊C8 | C2×D4 | semidirect |
| 117. C2×C71 | #468 | semidirect |
| 124. C71 | C2×#468 | semidirect |
| 131. C2×#103 | D71 | semidirect |
| 153. #103 | C2×D71 | semidirect |
| 243. C2 | #17986248 | direct (N × H) |