Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 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×#14519796 | C2 | semidirect |
| 2. #16840411 | C2 | semidirect |
| 3. #16840140 | C2 | semidirect |
| 4. #16840003 | C2 | semidirect |
| 5. #16840000 | C2 | semidirect |
| 6. #16839965 | C2 | semidirect |
| 7. #16839924 | C2 | semidirect |
| 8. #16839921 | C2 | semidirect |
| 9. D8×Dic61 | C2 | semidirect |
| 10. C8×C22⋊D61 | C2 | semidirect |
| 11. C2×#135×C61 | C2 | semidirect |
| 58. D8×C61 | D4 | semidirect |
| 129. Dic61 | #135 | semidirect |
| 138. C2×#135 | D61 | semidirect |
| 148. C61 | #3283 | semidirect |
| 198. D8 | C22⋊D61 | semidirect |