Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 1. C2×#14524074 | C2 | semidirect |
| 3. C2×#14524032 | C2 | semidirect |
| 4. #16863864 | C2 | semidirect |
| 5. #16863621 | C2 | semidirect |
| 6. #16863614 | C2 | semidirect |
| 7. #16863419 | C2 | semidirect |
| 8. #16863400 | C2 | semidirect |
| 9. #419×C67 | C2 | semidirect |
| 14. C2×#11761618 | C22 | semidirect |
| 16. C2×#11761615 | C22 | semidirect |
| 22. #14524008 | C22 | semidirect |
| 23. #14524005 | C22 | semidirect |
| 29. Dic67⋊C8 | C22 | semidirect |
| 34. #103×C67 | C22 | semidirect |
| 126. C67 | #3040 | semidirect |
| 134. #419 | D67 | semidirect |
| 159. #103 | C2×D67 | semidirect |