Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
548 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 153 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×#14519803 | C2 | semidirect |
| 2. #16840312 | C2 | semidirect |
| 3. #16839977 | C2 | semidirect |
| 4. #16839967 | C2 | semidirect |
| 5. #16839957 | C2 | semidirect |
| 6. #16839786 | C2 | semidirect |
| 7. #16839761 | C2 | semidirect |
| 8. C2×C4×D4×C61 | C2 | semidirect |
| 14. #14519777 | C22 | semidirect |
| 15. #14519774 | C22 | semidirect |
| 16. #14519765 | C22 | semidirect |
| 21. C4⋊#92418 | C22 | semidirect |
| 22. C4⋊#92418 | C22 | semidirect |
| 23. #14519700 | C22 | semidirect |
| 24. #14519697 | C22 | semidirect |
| 37. C2×D4×C61 | D4 | semidirect |
| 119. C4×C61 | AGL(1,ℤ/8) | semidirect |
| 132. C2×C4×D4 | D61 | semidirect |
| 138. C61 | #3036 | semidirect |
| 174. C2×D4 | D244 | semidirect |
| 250. C4 | #14519803 | semidirect |