Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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×#14519775 | C2 | semidirect |
| 3. #16840155 | C2 | semidirect |
| 4. #16840129 | C2 | semidirect |
| 5. #16839970 | C2 | semidirect |
| 6. #16839966 | C2 | semidirect |
| 7. #16839917 | C2 | semidirect |
| 10. #16839816 | C2 | semidirect |
| 11. C61×#451 | C2 | semidirect |
| 145. #451 | D61 | semidirect |
| 149. C61 | #3218 | semidirect |