Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 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×#14519808 | C2 | semidirect |
| 3. C2×#14519766 | C2 | semidirect |
| 4. #16840230 | C2 | semidirect |
| 5. #16839987 | C2 | semidirect |
| 6. #16839980 | C2 | semidirect |
| 7. #16839785 | C2 | semidirect |
| 8. #16839766 | C2 | semidirect |
| 9. C61×#419 | C2 | semidirect |
| 14. C2×#11758202 | C22 | semidirect |
| 16. C2×#11758201 | C22 | semidirect |
| 22. #14519742 | C22 | semidirect |
| 23. #14519739 | C22 | semidirect |
| 29. #14519706 | C22 | semidirect |
| 34. #103×C61 | C22 | semidirect |
| 133. #419 | D61 | semidirect |
| 135. C61 | #3040 | semidirect |
| 159. #103 | C2×D61 | semidirect |