Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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. C2×#14519768 | C2 | semidirect |
| 3. #16840071 | C2 | semidirect |
| 4. #16840067 | C2 | semidirect |
| 5. #16840064 | C2 | semidirect |
| 6. #16840060 | C2 | semidirect |
| 7. #16839804 | C2 | semidirect |
| 8. #16839802 | C2 | semidirect |
| 9. #16839785 | C2 | semidirect |
| 147. C61 | #3080 | semidirect |