Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. C2×#14524041 | C2 | semidirect |
| 5. #16863605 | C2 | semidirect |
| 6. #16863600 | C2 | semidirect |
| 7. #16863419 | C2 | semidirect |
| 8. #16863404 | C2 | semidirect |
| 9. #419×C67 | C2 | semidirect |
| 116. Dic67 | #137 | semidirect |
| 122. C67 | #3039 | semidirect |
| 131. #419 | D67 | semidirect |