Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
320 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 113 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. C4×#11758194 | C2 | semidirect |
| 4. #16839522 | C2 | semidirect |
| 5. C61×#376 | C2 | semidirect |
| 8. C4×Dic122 | C4 | semidirect |
| 9. C4×D244 | C4 | semidirect |
| 14. #14519705 | C4 | semidirect |
| 32. C42×C61 | C2×C4 | semidirect |
| 42. #11758194 | C2×C4 | semidirect |
| 86. #376 | D61 | semidirect |
| 88. C61 | #1759 | semidirect |
| 124. C42 | C4×D61 | semidirect |