Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16840472 | C2 | semidirect |
| 2. #16840116 | C2 | semidirect |
| 3. #16840112 | C2 | semidirect |
| 4. #16840069 | C2 | semidirect |
| 5. #16840052 | C2 | semidirect |
| 7. #16839964 | C2 | semidirect |
| 8. Q8×#92418 | C2 | semidirect |
| 9. C4×#11758201 | C2 | semidirect |
| 11. C61×#556 | C2 | semidirect |
| 121. #556 | D61 | semidirect |
| 132. C61 | #3360 | semidirect |