Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
360 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 133 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×Dic268 | C2 | semidirect |
| 2. #16863836 | C2 | direct (N × H) |
| 3. C2×#14523989 | C2 | semidirect |
| 4. C2×#14523987 | C2 | semidirect |
| 5. C2×#14523983 | C2 | semidirect |
| 11. C2×Dic268 | C22 | semidirect |
| 12. #14523989 | C22 | semidirect |
| 13. #14523987 | C22 | semidirect |
| 14. #14523983 | C22 | semidirect |
| 81. C2×C67 | #510 | semidirect |
| 84. C67 | C2×#510 | semidirect |
| 165. C2 | #16863836 | direct (N × H) |