Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16864109 | C2 | semidirect |
| 2. #16863800 | C2 | semidirect |
| 3. #16863722 | C2 | semidirect |
| 4. #16863720 | C2 | semidirect |
| 5. #16863685 | C2 | semidirect |
| 6. #16863633 | C2 | semidirect |
| 7. #16863632 | C2 | semidirect |
| 8. #16863478 | C2 | semidirect |
| 9. C8×C22⋊D67 | C2 | semidirect |
| 10. #16863433 | C2 | semidirect |
| 11. #427×C67 | C2 | semidirect |
| 121. C67 | #3341 | semidirect |
| 132. #427 | D67 | semidirect |