Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840393 | C2 | semidirect |
| 3. #16840129 | C2 | semidirect |
| 4. #16840123 | C2 | semidirect |
| 5. #16840118 | C2 | semidirect |
| 6. #16840111 | C2 | semidirect |
| 7. #16839771 | C2 | semidirect |
| 10. #16839717 | C2 | semidirect |
| 11. C2×#103×C61 | C2 | semidirect |
| 137. C2×#103 | D61 | semidirect |
| 139. C61 | #3137 | semidirect |