Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 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 |
|---|---|---|
| 2. C2×#14524001 | C2 | semidirect |
| 3. #16863719 | C2 | direct (N × H) |
| 4. C2×#14523976 | C2 | semidirect |
| 5. C2×#14523975 | C2 | semidirect |
| 6. C2×#14523964 | C2 | semidirect |
| 7. C2×(C2×D67)⋊C8 | C2 | semidirect |
| 8. C2×#102×C67 | C2 | semidirect |
| 15. #14524001 | C22 | semidirect |
| 21. #14523976 | C22 | semidirect |
| 22. #14523975 | C22 | semidirect |
| 23. #14523964 | C22 | semidirect |
| 24. (C2×D67)⋊C8 | C22 | semidirect |
| 28. #102×C67 | C22 | semidirect |
| 109. C2×C67 | #482 | semidirect |
| 115. C67 | C2×#482 | semidirect |
| 122. C2×#102 | D67 | semidirect |
| 142. #102 | C2×D67 | semidirect |
| 225. C2 | #16863719 | direct (N × H) |