Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
224 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 77 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×#14519712 | C2 | semidirect |
| 5. #16839521 | C2 | semidirect |
| 6. #16839516 | C2 | semidirect |
| 7. C61×#405 | C2 | semidirect |
| 14. #14519700 | C4 | semidirect |
| 15. #14519700 | C4 | semidirect |
| 16. #14519697 | C4 | semidirect |
| 17. #14519697 | C4 | semidirect |
| 110. #405 | D61 | semidirect |
| 113. C61 | #1929 | semidirect |