Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 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. C2×Q8×Dic67 | C2 | semidirect |
| 3. #16863732 | C2 | semidirect |
| 5. #16863705 | C2 | semidirect |
| 6. #16863616 | C2 | semidirect |
| 7. #16863552 | C2 | semidirect |
| 8. #16863500 | C2 | semidirect |
| 9. #16863497 | C2 | semidirect |
| 10. #16863450 | C2 | semidirect |
| 132. C67 | #3117 | semidirect |