Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. #16840336 | C2 | semidirect |
| 3. #16840245 | C2 | semidirect |
| 4. #16839986 | C2 | semidirect |
| 5. #16839979 | C2 | semidirect |
| 6. #16839970 | C2 | semidirect |
| 7. #16839965 | C2 | semidirect |
| 8. #16839790 | C2 | semidirect |
| 9. #16839764 | C2 | semidirect |
| 10. C2×#14519701 | C2 | semidirect |
| 11. C2×#137×C61 | C2 | semidirect |
| 147. C2×#137 | D61 | semidirect |
| 158. C61 | #3046 | semidirect |