Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
528 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 157 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×#14524042 | C2 | semidirect |
| 3. #16863741 | C2 | direct (N × H) |
| 4. C2×#14523965 | C2 | semidirect |
| 5. C2×#14523964 | C2 | semidirect |
| 6. C2×#14523963 | C2 | semidirect |
| 7. C2×C8×Dic67 | C2 | semidirect |
| 8. C2×#102×C67 | C2 | semidirect |
| 15. #14524042 | C22 | semidirect |
| 21. #14523965 | C22 | semidirect |
| 22. #14523964 | C22 | semidirect |
| 23. #14523963 | C22 | semidirect |
| 24. C8×Dic67 | C22 | semidirect |
| 28. #102×C67 | C22 | semidirect |
| 113. C2×C67 | #486 | semidirect |
| 119. C67 | C2×#486 | semidirect |
| 126. C2×#102 | D67 | semidirect |
| 146. #102 | C2×D67 | semidirect |
| 233. C2 | #16863741 | direct (N × H) |