Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
712 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14519825 | C2 | semidirect |
| 2. C2×#14519797 | C2 | semidirect |
| 3. #16840340 | C2 | semidirect |
| 4. #16839923 | C2 | semidirect |
| 5. #16839916 | C2 | semidirect |
| 6. #16839906 | C2 | semidirect |
| 7. #16839899 | C2 | semidirect |
| 8. #16839764 | C2 | semidirect |
| 9. C2×#14519701 | C2 | semidirect |
| 10. #16839730 | C2 | semidirect |
| 11. C2×#137×C61 | C2 | semidirect |
| 49. C2×Q8×C61 | D4 | semidirect |
| 71. #11758222 | D4 | semidirect |
| 171. C2×#137 | D61 | semidirect |
| 181. C61 | #3013 | semidirect |
| 233. C2×Q8 | C22⋊D61 | semidirect |