Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
144 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 3. #16840687 | C2 | semidirect |
| 4. #16840686 | C2 | semidirect |
| 13. #14519716 | C4 | semidirect |
| 14. #14519716 | C4 | semidirect |
| 17. C2×#11758185 | C4 | semidirect |
| 18. C2×C16×C61 | C4 | semidirect |
| 68. C61 | #2155 | semidirect |
| 77. C2×C16 | #6923 | semidirect |