Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840490 | C2 | semidirect |
| 3. #16840155 | C2 | semidirect |
| 5. #16839987 | C2 | semidirect |
| 6. #16839972 | C2 | semidirect |
| 7. #16839966 | C2 | semidirect |
| 9. #16839892 | C2 | semidirect |
| 10. #16839861 | C2 | semidirect |
| 11. C4×Q16×C61 | C2 | semidirect |
| 132. C4×Q16 | D61 | semidirect |
| 133. C61 | #3400 | semidirect |