Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
174 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 59 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. #16839844 | C2 | semidirect |
| 3. #16839562 | C2 | semidirect |
| 4. C16×Dic61 | C2 | semidirect |
| 5. C61×#366 | C2 | semidirect |
| 8. D976 | C4 | semidirect |
| 22. D488 | C2×C4 | semidirect |
| 23. C16×C61 | C2×C4 | semidirect |
| 44. Dic61 | D16 | semidirect |
| 52. #366 | D61 | semidirect |
| 55. C61 | C4×D16 | semidirect |
| 74. C16 | C4×D61 | semidirect |