Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
800 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 800 conjugacy classes of subgroups — too many to draw. Only its 249 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. #16840237 | C2 | semidirect |
| 3. #16839735 | C2 | semidirect |
| 4. C2×#14519691 | C2 | semidirect |
| 5. C61×#518 | C2 | semidirect |
| 9. C2×#11758224 | C4 | semidirect |
| 11. C2×D4×D61 | C4 | semidirect |
| 13. #14519736 | C22 | semidirect |
| 14. C2×C22⋊Dic61 | C22 | semidirect |
| 15. #14519691 | C22 | semidirect |
| 18. #117×C61 | C22 | semidirect |
| 19. C2×C22⋊C4×C61 | C22 | semidirect |
| 21. C23×D61 | C2×C4 | semidirect |
| 29. C2×C22⋊D61 | C2×C4 | semidirect |
| 32. C22×Dic61 | C2×C4 | semidirect |
| 37. C2×D244 | C2×C4 | semidirect |
| 38. C2×C4×D61 | C2×C4 | semidirect |
| 39. C2×Dic122 | C2×C4 | semidirect |
| 96. #518 | D61 | semidirect |
| 99. C61 | #2883 | semidirect |
| 110. #117 | C2×D61 | semidirect |
| 112. C2×C22⋊C4 | C2×D61 | semidirect |