Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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. #16840138 | C2 | semidirect |
| 4. #16839996 | C2 | semidirect |
| 5. #16839962 | C2 | semidirect |
| 6. #16839959 | C2 | semidirect |
| 7. #16839907 | C2 | semidirect |
| 8. #16839905 | C2 | semidirect |
| 9. C4×#11758202 | C2 | semidirect |
| 10. D4×#92418 | C2 | semidirect |
| 11. C61×#550 | C2 | semidirect |
| 69. #11758202 | D4 | semidirect |
| 131. C4×C61 | #135 | semidirect |
| 145. #550 | D61 | semidirect |
| 154. C61 | #3287 | semidirect |
| 276. C4 | #14519797 | semidirect |