Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
484 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 484 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. C2×#14519800 | C2 | semidirect |
| 2. C2×#14519799 | C2 | semidirect |
| 3. #16840414 | C2 | semidirect |
| 4. #16840140 | C2 | semidirect |
| 5. #16840004 | C2 | semidirect |
| 6. #16839966 | C2 | semidirect |
| 7. #16839927 | C2 | semidirect |
| 8. #16839922 | C2 | semidirect |
| 9. #16839844 | C2 | semidirect |
| 10. C8×C22⋊D61 | C2 | semidirect |
| 11. C61×#467 | C2 | semidirect |
| 77. D488 | D4 | semidirect |
| 129. Dic61 | #135 | semidirect |
| 142. #467 | D61 | semidirect |
| 148. C61 | #3283 | semidirect |