Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16863976 | C2 | semidirect |
| 2. #16863725 | C2 | semidirect |
| 3. #16863716 | C2 | semidirect |
| 4. #16863649 | C2 | semidirect |
| 5. #16863627 | C2 | semidirect |
| 6. #16863557 | C2 | semidirect |
| 7. #16863544 | C2 | semidirect |
| 8. #16863364 | C2 | semidirect |
| 9. #470×C67 | C2 | semidirect |
| 118. C67 | #3204 | semidirect |
| 122. #470 | D67 | semidirect |