Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
428 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C2×#14519742 | C2 | semidirect |
| 3. #16840080 | C2 | semidirect |
| 4. #16840046 | C2 | semidirect |
| 5. #16839961 | C2 | semidirect |
| 6. #16839903 | C2 | semidirect |
| 7. #16839900 | C2 | semidirect |
| 8. #16839853 | C2 | semidirect |
| 9. #16839849 | C2 | semidirect |
| 10. #16839812 | C2 | semidirect |
| 11. C61×#481 | C2 | semidirect |
| 101. C2×Dic61 | SD16 | semidirect |
| 111. Dic122 | #41 | semidirect |
| 144. #481 | D61 | semidirect |
| 152. C61 | #3103 | semidirect |