Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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×C4⋊Dic67 | C2 | semidirect |
| 2. #16863729 | C2 | semidirect |
| 3. #16863724 | C2 | semidirect |
| 4. #16863712 | C2 | semidirect |
| 5. #16863707 | C2 | semidirect |
| 6. #16863439 | C2 | semidirect |
| 7. #16863397 | C2 | semidirect |
| 8. #16863360 | C2 | semidirect |
| 18. #14523976 | C22 | semidirect |
| 19. #14523974 | C22 | semidirect |
| 20. #14523967 | C22 | semidirect |
| 21. #14523964 | C22 | semidirect |
| 131. C67 | #3092 | semidirect |