Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #16840163 | C2 | semidirect |
| 3. #16840140 | C2 | semidirect |
| 4. #16840129 | C2 | semidirect |
| 8. #16839867 | C2 | semidirect |
| 9. C4×Dic244 | C2 | semidirect |
| 11. C4×Q16×C61 | C2 | semidirect |
| 121. C4×Q16 | D61 | semidirect |
| 123. C61 | #3177 | semidirect |