Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
544 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 157 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×#11758200 | C2 | semidirect |
| 2. C22×#11758194 | C2 | semidirect |
| 3. C2×#14519756 | C2 | semidirect |
| 4. #16840006 | C2 | direct (N × H) |
| 5. C2×#14519710 | C2 | semidirect |
| 6. C2×#14519700 | C2 | semidirect |
| 7. C2×#14519698 | C2 | semidirect |
| 11. C2×#11758200 | C22 | semidirect |
| 13. C2×#11758194 | C22 | semidirect |
| 17. #14519756 | C22 | semidirect |
| 21. #14519710 | C22 | semidirect |
| 22. #14519700 | C22 | semidirect |
| 23. #14519698 | C22 | semidirect |
| 62. C2×#92418 | D4 | semidirect |
| 97. #92418 | C2×D4 | semidirect |
| 120. C2×C61 | #468 | semidirect |
| 132. C61 | C2×#468 | semidirect |
| 243. C2 | #16840006 | direct (N × H) |