Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
512 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 165 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×C4⋊Dic61 | C2 | semidirect |
| 2. #16840073 | C2 | direct (N × H) |
| 3. C2×#14519710 | C2 | semidirect |
| 4. C2×#14519698 | C2 | semidirect |
| 5. C2×C22⋊#92418 | C2 | semidirect |
| 12. C2×C4⋊Dic61 | C22 | semidirect |
| 13. #14519710 | C22 | semidirect |
| 14. #14519698 | C22 | semidirect |
| 15. C22⋊#92418 | C22 | semidirect |
| 92. C2×C61 | #480 | semidirect |
| 102. C61 | C2×#480 | semidirect |
| 187. C2 | #16840073 | direct (N × H) |