Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
336 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16840490 | C2 | semidirect |
| 4. #16840113 | C2 | semidirect |
| 5. #16840070 | C2 | semidirect |
| 8. #16839973 | C2 | semidirect |
| 9. C4×Dic244 | C2 | semidirect |
| 11. C8×Q8×C61 | C2 | semidirect |
| 124. C8×Q8 | D61 | semidirect |
| 127. C61 | #3364 | semidirect |