Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
216 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 59 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. #16839817 | C2 | semidirect |
| 3. #16839714 | C2 | semidirect |
| 4. #16839503 | C2 | semidirect |
| 5. #16839503 | C2 | semidirect |
| 6. #16839502 | C2 | semidirect |
| 7. C61×#329 | C2 | semidirect |
| 105. #329 | D61 | semidirect |
| 106. C61 | #1529 | semidirect |