Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
494 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14519797 | C2 | semidirect |
| 2. #16840433 | C2 | semidirect |
| 3. #16840136 | C2 | semidirect |
| 4. #16839993 | C2 | semidirect |
| 5. #16839969 | C2 | semidirect |
| 6. #16839957 | C2 | semidirect |
| 7. #16839922 | C2 | semidirect |
| 8. #16839907 | C2 | semidirect |
| 9. C4×#11758200 | C2 | semidirect |
| 10. D4×#92418 | C2 | semidirect |
| 11. C61×#547 | C2 | semidirect |
| 72. #11758200 | D4 | semidirect |
| 129. C4×C61 | #135 | semidirect |
| 143. #547 | D61 | semidirect |
| 152. C61 | #3284 | semidirect |
| 272. C4 | #14519797 | semidirect |