Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #16840576 | C2 | semidirect |
| 2. #16840202 | C2 | semidirect |
| 3. #16840201 | C2 | semidirect |
| 4. #16840191 | C2 | semidirect |
| 5. C2×Dic488 | C2 | semidirect |
| 6. Q32×D61 | C2 | semidirect |
| 7. #16840178 | C2 | semidirect |
| 8. C61×#508 | C2 | semidirect |
| 86. #508 | D61 | semidirect |
| 90. C61 | #3417 | semidirect |