Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
412 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11758194 | C2 | semidirect |
| 3. C2×#14519697 | C2 | semidirect |
| 4. #16839524 | C2 | semidirect |
| 5. C61×#380 | C2 | semidirect |
| 12. #14519751 | C4 | semidirect |
| 45. C2×#92418 | D4 | semidirect |
| 108. #380 | D61 | semidirect |
| 110. C61 | #1895 | semidirect |