Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
448 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14524034 | C2 | semidirect |
| 3. #16863695 | C2 | direct (N × H) |
| 4. C2×#14523976 | C2 | semidirect |
| 5. C2×Dic67⋊C8 | C2 | semidirect |
| 8. C2×#106×C67 | C2 | semidirect |
| 13. #14524034 | C22 | semidirect |
| 21. #14523976 | C22 | semidirect |
| 22. Dic67⋊C8 | C22 | semidirect |
| 28. #106×C67 | C22 | semidirect |
| 98. C2×C67 | #478 | semidirect |
| 104. C67 | C2×#478 | semidirect |
| 109. C2×#106 | D67 | semidirect |
| 129. #106 | C2×D67 | semidirect |
| 203. C2 | #16863695 | direct (N × H) |