Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
716 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 198 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. #16840830 | C2 | semidirect |
| 2. #16840742 | C2 | semidirect |
| 3. #16840741 | C2 | semidirect |
| 11. C2×#11758224 | C4 | semidirect |
| 13. C22×Dic122 | C4 | semidirect |
| 14. C2×Q8×D61 | C4 | semidirect |
| 16. C2×#41×C61 | C4 | semidirect |
| 81. C61 | #2884 | semidirect |
| 86. C2×#41 | #6923 | semidirect |