Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
416 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 416 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 |
|---|---|---|
| 2. #16840097 | C2 | semidirect |
| 3. #16840095 | C2 | semidirect |
| 4. #16840001 | C2 | semidirect |
| 5. #16839918 | C2 | semidirect |
| 6. #16839917 | C2 | semidirect |
| 10. C2×#11758202 | C22 | semidirect |
| 19. #14519710 | C22 | semidirect |
| 20. #14519701 | C22 | semidirect |
| 21. #14519700 | C22 | semidirect |
| 68. C23×C61 | Q16 | semidirect |
| 129. C61 | #3189 | semidirect |
| 189. C23 | #11758202 | semidirect |