Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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. C2×#13133248 | C2 | semidirect |
| 3. #16811197 | C2 | semidirect |
| 4. #16811104 | C2 | semidirect |
| 5. #16810848 | C2 | semidirect |
| 6. #16810841 | C2 | semidirect |
| 7. #16810832 | C2 | semidirect |
| 8. #16810827 | C2 | semidirect |
| 9. #16810649 | C2 | semidirect |
| 10. #16810622 | C2 | semidirect |
| 11. C2×#103×C53 | C2 | semidirect |
| 157. C2×#103 | D53 | semidirect |
| 158. C53 | #3046 | semidirect |