Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 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×#14519785 | C2 | semidirect |
| 3. #16840336 | C2 | semidirect |
| 4. #16840017 | C2 | semidirect |
| 5. #16840005 | C2 | semidirect |
| 6. #16840000 | C2 | semidirect |
| 7. #16839988 | C2 | semidirect |
| 8. #16839804 | C2 | semidirect |
| 9. #16839758 | C2 | semidirect |
| 10. C2×#14519701 | C2 | semidirect |
| 11. C2×#137×C61 | C2 | semidirect |
| 65. M16×C61 | D4 | semidirect |
| 144. C2×#137 | D61 | semidirect |
| 155. C61 | #3063 | semidirect |
| 210. M16 | C22⋊D61 | semidirect |