Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#11761615 | C2 | semidirect |
| 3. #16863970 | C2 | semidirect |
| 4. #16863870 | C2 | semidirect |
| 5. #16863614 | C2 | semidirect |
| 6. #16863600 | C2 | semidirect |
| 7. #16863424 | C2 | semidirect |
| 8. #16863390 | C2 | semidirect |
| 9. #419×C67 | C2 | semidirect |
| 18. #14524041 | C22 | semidirect |
| 19. #14524032 | C22 | semidirect |
| 26. Dic67⋊C8 | C22 | semidirect |
| 27. #14523966 | C22 | semidirect |
| 28. #14523963 | C22 | semidirect |
| 32. #103×C67 | C22 | semidirect |
| 117. C67 | #3042 | semidirect |
| 125. #419 | D67 | semidirect |
| 148. #103 | C2×D67 | semidirect |