Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
232 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 66 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. C2×#14519852 | C2 | semidirect |
| 2. C2×#14519845 | C2 | semidirect |
| 3. #16840678 | C2 | direct (N × H) |
| 7. #14519852 | C22 | semidirect |
| 10. #14519845 | C22 | semidirect |
| 14. #14519796 | C4 | semidirect |
| 16. C2×Dic244 | C4 | semidirect |
| 19. C2×D8×C61 | C4 | semidirect |
| 33. D8×C61 | C2×C4 | semidirect |
| 39. Dic244 | C2×C4 | semidirect |
| 82. C2×C61 | #360 | semidirect |
| 90. C61 | C2×#360 | semidirect |
| 98. C2×D8 | #6923 | semidirect |
| 121. D8 | C2×#6923 | semidirect |
| 169. C2 | #16840678 | direct (N × H) |