Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
500 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 1. C22×Dic268 | C2 | semidirect |
| 4. C2×#14524008 | C2 | semidirect |
| 5. #16863617 | C2 | direct (N × H) |
| 6. C2×Dic67⋊C8 | C2 | semidirect |
| 7. C2×#14523966 | C2 | semidirect |
| 12. C2×Dic268 | C22 | semidirect |
| 19. #14524008 | C22 | semidirect |
| 25. Dic67⋊C8 | C22 | semidirect |
| 26. #14523966 | C22 | semidirect |
| 111. C2×C67 | #464 | semidirect |
| 116. C67 | C2×#464 | semidirect |
| 227. C2 | #16863617 | direct (N × H) |