Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
812 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 165 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×#11765865 | C2 | semidirect |
| 2. C22×#11765853 | C2 | semidirect |
| 3. C22×#11765850 | C2 | semidirect |
| 4. #17986142 | C2 | direct (N × H) |
| 5. C2×#14556051 | C2 | semidirect |
| 6. C2×#14556048 | C2 | semidirect |
| 7. C2×C22⋊(C71⋊C8) | C2 | semidirect |
| 8. C2×#121×C71 | C2 | semidirect |
| 12. C2×#11765865 | C22 | semidirect |
| 18. C2×#11765853 | C22 | semidirect |
| 20. C2×#11765850 | C22 | semidirect |
| 23. #14556051 | C22 | semidirect |
| 24. #14556048 | C22 | semidirect |
| 25. C22⋊(C71⋊C8) | C22 | semidirect |
| 30. #121×C71 | C22 | semidirect |
| 39. C2×Dic142 | D4 | semidirect |
| 43. C2×D284 | D4 | semidirect |
| 107. D284 | C2×D4 | semidirect |
| 111. Dic142 | C2×D4 | semidirect |
| 138. C2×C71 | #449 | semidirect |
| 144. C71 | C2×#449 | semidirect |
| 148. C2×#121 | D71 | semidirect |
| 171. #121 | C2×D71 | semidirect |
| 283. C2 | #17986142 | direct (N × H) |