Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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×#14519808 | C2 | semidirect |
| 3. C2×Q8×Dic61 | C2 | semidirect |
| 4. #16839986 | C2 | semidirect |
| 5. #16839982 | C2 | semidirect |
| 6. #16839970 | C2 | semidirect |
| 7. #16839960 | C2 | semidirect |
| 8. #16839785 | C2 | semidirect |
| 9. #16839764 | C2 | semidirect |
| 10. #16839763 | C2 | semidirect |
| 11. C2×#137×C61 | C2 | semidirect |
| 49. C2×Q8×C61 | D4 | semidirect |
| 150. Dic61 | #137 | semidirect |
| 159. C2×#137 | D61 | semidirect |
| 169. C61 | #3037 | semidirect |
| 210. C2×Q8 | C22⋊D61 | semidirect |