Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16863949 | C2 | semidirect |
| 3. #16863757 | C2 | semidirect |
| 4. #16863752 | C2 | semidirect |
| 5. #16863405 | C2 | semidirect |
| 8. M16×Dic67 | C2 | semidirect |
| 9. #419×C67 | C2 | semidirect |
| 12. #14524042 | C22 | semidirect |
| 13. #14524034 | C22 | semidirect |
| 22. #14523967 | C22 | semidirect |
| 25. #14523953 | C22 | semidirect |
| 26. C8×Dic67 | C22 | semidirect |
| 30. #103×C67 | C22 | semidirect |
| 105. C67 | #3140 | semidirect |
| 111. #419 | D67 | semidirect |
| 131. #103 | C2×D67 | semidirect |