Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #16863877 | C2 | semidirect |
| 3. #16863735 | C2 | semidirect |
| 4. #16863730 | C2 | semidirect |
| 5. #16863719 | C2 | semidirect |
| 6. #16863708 | C2 | semidirect |
| 7. #16863438 | C2 | semidirect |
| 8. C2×#14523976 | C2 | semidirect |
| 9. #16863392 | C2 | semidirect |
| 10. #16863364 | C2 | semidirect |
| 11. #417×C67 | C2 | semidirect |
| 134. C67 | #3098 | semidirect |
| 143. #417 | D67 | semidirect |