Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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×#14524062 | C2 | semidirect |
| 2. C2×#14524049 | C2 | semidirect |
| 3. #16863975 | C2 | semidirect |
| 4. #16863641 | C2 | semidirect |
| 5. #16863640 | C2 | semidirect |
| 6. #16863638 | C2 | semidirect |
| 7. #16863637 | C2 | semidirect |
| 8. #16863629 | C2 | semidirect |
| 9. #107×D67 | C2 | semidirect |
| 10. #16863394 | C2 | semidirect |
| 11. #466×C67 | C2 | semidirect |
| 64. C8×D67 | D4 | semidirect |
| 144. C67 | #3061 | semidirect |
| 153. #466 | D67 | semidirect |