Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
142 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 49 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. #16863800 | C2 | semidirect |
| 3. #16863221 | C2 | semidirect |
| 4. Dic67⋊C16 | C2 | semidirect |
| 7. #366×C67 | C2 | semidirect |
| 23. D536 | Q8 | semidirect |
| 64. C67 | #2224 | semidirect |
| 68. #366 | D67 | semidirect |