Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
390 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 121 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. #16863788 | C2 | semidirect |
| 3. #16863758 | C2 | semidirect |
| 4. #16863606 | C2 | semidirect |
| 5. #16863596 | C2 | semidirect |
| 6. #16863556 | C2 | semidirect |
| 7. #16863453 | C2 | semidirect |
| 8. #533×C67 | C2 | semidirect |
| 110. C67 | #3216 | semidirect |
| 111. #533 | D67 | semidirect |