Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840319 | C2 | semidirect |
| 3. #16840070 | C2 | semidirect |
| 4. #16840048 | C2 | semidirect |
| 5. #16840043 | C2 | semidirect |
| 6. #16840003 | C2 | semidirect |
| 8. #16839985 | C2 | semidirect |
| 9. #16839973 | C2 | semidirect |
| 10. #16839968 | C2 | semidirect |
| 11. C2×C4⋊C8×C61 | C2 | semidirect |
| 144. C2×C4⋊C8 | D61 | semidirect |
| 145. C61 | #3248 | semidirect |