Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840413 | C2 | semidirect |
| 2. #16840166 | C2 | semidirect |
| 3. #16840077 | C2 | semidirect |
| 4. #16840075 | C2 | semidirect |
| 5. #16840041 | C2 | semidirect |
| 6. #16839999 | C2 | semidirect |
| 7. #16839998 | C2 | semidirect |
| 8. #16839844 | C2 | semidirect |
| 9. C8×C22⋊D61 | C2 | semidirect |
| 10. #107×D61 | C2 | semidirect |
| 11. C2×#107×C61 | C2 | semidirect |
| 81. C22⋊D61 | D8 | semidirect |
| 95. C8×C61 | #41 | semidirect |
| 134. C2×#107 | D61 | semidirect |
| 135. C61 | #3334 | semidirect |
| 221. C8 | #11758222 | semidirect |