Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
264 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 69 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. #16863446 | C2 | semidirect |
| 3. #16863260 | C2 | semidirect |
| 4. #16863131 | C2 | semidirect |
| 5. #16863130 | C2 | semidirect |
| 6. #16863129 | C2 | semidirect |
| 7. #327×C67 | C2 | semidirect |
| 9. #14524042 | C4 | semidirect |
| 10. #14524039 | C4 | semidirect |
| 14. D4×Dic67 | C4 | semidirect |
| 15. #14524005 | C4 | semidirect |
| 120. C67 | #1517 | semidirect |
| 127. #327 | D67 | semidirect |