Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 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. #16840315 | C2 | semidirect |
| 3. #16840123 | C2 | semidirect |
| 4. #16840118 | C2 | semidirect |
| 5. #16839771 | C2 | semidirect |
| 8. M16×Dic61 | C2 | semidirect |
| 9. C61×#419 | C2 | semidirect |
| 12. #14519776 | C22 | semidirect |
| 13. #14519768 | C22 | semidirect |
| 22. #14519701 | C22 | semidirect |
| 25. #14519687 | C22 | semidirect |
| 26. C8×Dic61 | C22 | semidirect |
| 30. #103×C61 | C22 | semidirect |
| 110. #419 | D61 | semidirect |
| 114. C61 | #3140 | semidirect |
| 131. #103 | C2×D61 | semidirect |