Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14519784 | C2 | semidirect |
| 3. #16840333 | C2 | semidirect |
| 4. #16840006 | C2 | semidirect |
| 5. #16839989 | C2 | semidirect |
| 6. #16839798 | C2 | semidirect |
| 7. #16839770 | C2 | semidirect |
| 8. #16839767 | C2 | semidirect |
| 16. C2×#11758194 | C22 | semidirect |
| 18. C22×#92418 | C22 | semidirect |
| 22. #14519756 | C22 | semidirect |
| 24. #14519710 | C22 | semidirect |
| 25. #14519708 | C22 | semidirect |
| 26. #14519700 | C22 | semidirect |
| 67. C2×#92418 | D4 | semidirect |
| 130. C61 | #3057 | semidirect |