Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16840560 | C2 | semidirect |
| 2. C2×#14519803 | C2 | semidirect |
| 3. #16840528 | C2 | semidirect |
| 4. #16840029 | C2 | semidirect |
| 5. #16840022 | C2 | semidirect |
| 6. #16839811 | C2 | semidirect |
| 7. #16839746 | C2 | semidirect |
| 8. C2×#14519694 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C61 | C2 | semidirect |
| 11. #14519808 | C22 | semidirect |
| 15. #14519803 | C22 | semidirect |
| 21. #14519783 | C22 | semidirect |
| 26. #14519713 | C22 | semidirect |
| 27. #14519696 | C22 | semidirect |
| 28. #14519694 | C22 | semidirect |
| 29. #14519694 | C22 | semidirect |
| 34. C2×SD16×C61 | C22 | semidirect |
| 35. C2×D8×C61 | C22 | semidirect |
| 150. C2×AGL(1,ℤ/8) | D61 | semidirect |
| 157. C61 | #3068 | semidirect |
| 171. C2×SD16 | C2×D61 | semidirect |
| 173. C2×D8 | C2×D61 | semidirect |