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×#14524076 | C2 | semidirect |
| 3. C2×#14524030 | C2 | semidirect |
| 4. #16863864 | C2 | semidirect |
| 5. #16863617 | C2 | semidirect |
| 6. #16863610 | C2 | semidirect |
| 7. #16863419 | C2 | semidirect |
| 8. #16863404 | C2 | semidirect |
| 9. #418×C67 | C2 | semidirect |
| 14. C2×Dic268 | C22 | semidirect |
| 15. C2×#11761617 | C22 | semidirect |
| 22. #14524008 | C22 | semidirect |
| 23. #14524005 | C22 | semidirect |
| 29. Dic67⋊C8 | C22 | semidirect |
| 30. #14523966 | C22 | semidirect |
| 126. C67 | #3040 | semidirect |
| 135. #418 | D67 | semidirect |