Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
548 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 145 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×#14519802 | C2 | semidirect |
| 2. C2×C4×D244 | C2 | semidirect |
| 3. #16839974 | C2 | semidirect |
| 4. #16839964 | C2 | semidirect |
| 5. #16839954 | C2 | semidirect |
| 6. #16839786 | C2 | semidirect |
| 7. #16839763 | C2 | semidirect |
| 8. C61×#532 | C2 | semidirect |
| 21. C4⋊#92418 | C22 | semidirect |
| 22. C4⋊#92418 | C22 | semidirect |
| 23. #14519701 | C22 | semidirect |
| 24. #14519698 | C22 | semidirect |
| 26. C4⋊Q8×C61 | C22 | semidirect |
| 27. #127×C61 | C22 | semidirect |
| 28. #124×C61 | C22 | semidirect |
| 49. C2×D244 | D4 | semidirect |
| 119. C4×C61 | AGL(1,ℤ/8) | semidirect |
| 131. #532 | D61 | semidirect |
| 138. C61 | #3036 | semidirect |
| 146. C4⋊Q8 | C2×D61 | semidirect |
| 147. #127 | C2×D61 | semidirect |
| 148. #124 | C2×D61 | semidirect |
| 250. C4 | #14519802 | semidirect |