Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16840312 | C2 | semidirect |
| 2. #16840138 | C2 | semidirect |
| 3. #16840108 | C2 | semidirect |
| 4. #16839954 | C2 | semidirect |
| 5. #16839896 | C2 | semidirect |
| 6. #16839815 | C2 | semidirect |
| 7. C2×#127×C61 | C2 | semidirect |
| 9. C2×#11758199 | C22 | semidirect |
| 10. #14519777 | C22 | semidirect |
| 11. #14519774 | C22 | semidirect |
| 16. C4×D244 | C22 | semidirect |
| 17. C4⋊#92418 | C22 | semidirect |
| 18. #14519698 | C22 | semidirect |
| 20. C4×#92418 | C22 | semidirect |
| 73. C2×C4×C61 | D8 | semidirect |
| 114. C2×#127 | D61 | semidirect |
| 120. C61 | #3205 | semidirect |
| 193. C2×C4 | #11758199 | semidirect |