Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
144 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 45 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×#14519722 | C2 | semidirect |
| 2. #16840178 | C2 | semidirect |
| 3. #16840038 | C2 | semidirect |
| 5. #16839577 | C2 | semidirect |
| 6. #16839574 | C2 | semidirect |
| 7. C61×#368 | C2 | semidirect |
| 76. #368 | D61 | semidirect |
| 79. C61 | #2223 | semidirect |