Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
346 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 346 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. #16864019 | C2 | semidirect |
| 2. #16863689 | C2 | semidirect |
| 3. #16863675 | C2 | semidirect |
| 4. #16863644 | C2 | semidirect |
| 6. #16863620 | C2 | semidirect |
| 7. #16863614 | C2 | semidirect |
| 8. #16863422 | C2 | semidirect |
| 9. #467×C67 | C2 | semidirect |
| 106. C67 | #3262 | semidirect |
| 111. #467 | D67 | semidirect |