Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16863946 | C2 | semidirect |
| 2. #16863778 | C2 | semidirect |
| 3. #16863753 | C2 | semidirect |
| 4. #16863606 | C2 | semidirect |
| 5. #16863601 | C2 | semidirect |
| 6. #16863596 | C2 | semidirect |
| 7. #16863591 | C2 | semidirect |
| 8. #16863556 | C2 | semidirect |
| 9. #16863539 | C2 | semidirect |
| 10. #16863449 | C2 | semidirect |
| 11. #529×C67 | C2 | semidirect |
| 145. C67 | #3212 | semidirect |
| 147. #529 | D67 | semidirect |