Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
448 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 138 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. #16840635 | C2 | semidirect |
| 8. D61⋊M16 | C4 | semidirect |
| 13. C2×C4⋊#6923 | C4 | semidirect |
| 16. #14519736 | C4 | semidirect |
| 17. #14519735 | C4 | semidirect |
| 23. #117×C61 | C4 | semidirect |
| 46. D61⋊C8 | C2×C4 | semidirect |
| 47. C4⋊C4×C61 | C2×C4 | semidirect |
| 52. C4⋊Dic61 | C2×C4 | semidirect |
| 122. C61 | #1736 | semidirect |
| 134. #117 | #6923 | semidirect |
| 167. C4⋊C4 | C2×#6923 | semidirect |