Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
344 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 78 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×#14519840 | C2 | semidirect |
| 3. #16840721 | C2 | semidirect |
| 4. #16840708 | C2 | semidirect |
| 14. #14519766 | C4 | semidirect |
| 15. #14519765 | C4 | semidirect |
| 16. #14519764 | C4 | semidirect |
| 20. #124×C61 | C4 | semidirect |
| 109. C61 | #1959 | semidirect |
| 117. #124 | #6923 | semidirect |