Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
756 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 209 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. #16840528 | C2 | semidirect |
| 3. #16839744 | C2 | semidirect |
| 4. #16839743 | C2 | semidirect |
| 5. C2×#14519694 | C2 | semidirect |
| 6. #100×D61 | C2 | semidirect |
| 7. C2×#100×C61 | C2 | semidirect |
| 19. C2×#11758194 | C22 | semidirect |
| 20. M16×D61 | C22 | semidirect |
| 21. #14519695 | C22 | semidirect |
| 22. #14519694 | C22 | semidirect |
| 23. #14519693 | C22 | semidirect |
| 25. C2×M16×C61 | C22 | semidirect |
| 26. #100×C61 | C22 | semidirect |
| 126. C2×#100 | D61 | semidirect |
| 127. C61 | #2888 | semidirect |
| 142. C2×M16 | C2×D61 | semidirect |
| 146. #100 | C2×D61 | semidirect |