Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14519805 | C2 | semidirect |
| 2. C22×D488 | C2 | semidirect |
| 3. C2×#14519783 | C2 | semidirect |
| 4. #16840033 | C2 | direct (N × H) |
| 5. C2×#14519693 | C2 | semidirect |
| 6. C2×#108×C61 | C2 | semidirect |
| 10. #14519805 | C22 | semidirect |
| 16. C2×D488 | C22 | semidirect |
| 18. #14519783 | C22 | semidirect |
| 22. #14519693 | C22 | semidirect |
| 25. #108×C61 | C22 | semidirect |
| 105. C2×C61 | #472 | semidirect |
| 113. C2×#108 | D61 | semidirect |
| 115. C61 | C2×#472 | semidirect |
| 133. #108 | C2×D61 | semidirect |
| 215. C2 | #16840033 | direct (N × H) |