Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16864131 | C2 | semidirect |
| 2. #16864103 | C2 | semidirect |
| 3. #16863752 | C2 | semidirect |
| 4. #16863743 | C2 | semidirect |
| 5. #16863695 | C2 | semidirect |
| 6. #16863691 | C2 | semidirect |
| 7. #16863613 | C2 | semidirect |
| 9. C8×Dic134 | C2 | semidirect |
| 10. #16863476 | C2 | semidirect |
| 11. C4×SD16×C67 | C2 | semidirect |
| 123. C67 | #3361 | semidirect |
| 133. C4×SD16 | D67 | semidirect |