Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14524069 | C2 | semidirect |
| 2. C2×#14524065 | C2 | semidirect |
| 3. #16863963 | C2 | semidirect |
| 4. #16863877 | C2 | semidirect |
| 5. #16863617 | C2 | semidirect |
| 6. #16863610 | C2 | semidirect |
| 7. #16863595 | C2 | semidirect |
| 8. #16863590 | C2 | semidirect |
| 9. #16863422 | C2 | semidirect |
| 10. #16863395 | C2 | semidirect |
| 11. C2×#102×C67 | C2 | semidirect |
| 16. C2×Dic268 | C22 | semidirect |
| 17. C2×#11761617 | C22 | semidirect |
| 18. C2×#11761617 | C22 | semidirect |
| 20. C2×D536 | C22 | semidirect |
| 28. #14524008 | C22 | semidirect |
| 29. #14524005 | C22 | semidirect |
| 34. Dic67⋊C8 | C22 | semidirect |
| 35. Dic67⋊C8 | C22 | semidirect |
| 36. #14523966 | C22 | semidirect |
| 37. #14523963 | C22 | semidirect |
| 46. #11761628 | D4 | semidirect |
| 155. C67 | #3045 | semidirect |
| 166. C2×#102 | D67 | semidirect |