Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
270 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 70 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. C2×#14519848 | C2 | semidirect |
| 3. #16840769 | C2 | semidirect |
| 5. #16840632 | C2 | semidirect |
| 6. (C2×#6923)⋊C8 | C2 | semidirect |
| 23. #14519701 | C4 | semidirect |
| 24. #14519699 | C4 | semidirect |
| 25. #14519697 | C4 | semidirect |
| 26. #103×C61 | C4 | semidirect |
| 117. C61 | #1866 | semidirect |
| 134. #103 | #6923 | semidirect |