Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
360 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 2. C4×#11758213 | C2 | semidirect |
| 3. C42×#6923 | C2 | semidirect |
| 4. #16840632 | C2 | semidirect |
| 10. #14519841 | C4 | direct (N × H) |
| 14. C4×Dic122 | C4 | semidirect |
| 15. #14519742 | C4 | semidirect |
| 16. D4×Dic61 | C4 | semidirect |
| 23. C4×D4×C61 | C4 | semidirect |
| 40. C4×#6923 | C2×C4 | semidirect |
| 42. #11758213 | C2×C4 | semidirect |
| 63. D4×C61 | C42 | semidirect |
| 82. Dic122 | C42 | semidirect |
| 94. C4×C61 | #104 | semidirect |
| 100. Dic61 | #104 | semidirect |
| 113. C61 | C4×#104 | semidirect |
| 121. C4×D4 | #6923 | semidirect |
| 171. D4 | C4×#6923 | semidirect |
| 207. C4 | #14519841 | direct (N × H) |