Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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. C22×#11758189 | C2 | semidirect |
| 3. C2×#14519698 | C2 | semidirect |
| 4. #16839619 | C2 | semidirect |
| 5. #16839525 | C2 | semidirect |
| 6. #16839524 | C2 | semidirect |
| 7. C2×#102×C61 | C2 | semidirect |
| 15. #14519748 | C4 | semidirect |
| 50. C2×C8×C61 | D4 | semidirect |
| 61. C2×#92418 | D4 | semidirect |
| 149. C2×#102 | D61 | semidirect |
| 153. C61 | #1895 | semidirect |
| 200. C2×C8 | C22⋊D61 | semidirect |