Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
412 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#14519735 | C2 | semidirect |
| 3. C2×#14519699 | C2 | semidirect |
| 4. C2×#14519697 | C2 | semidirect |
| 5. C2×#14519689 | C2 | semidirect |
| 6. #16839524 | C2 | semidirect |
| 7. C61×#340 | C2 | semidirect |
| 13. #14519752 | C4 | semidirect |
| 54. C4⋊C4×C61 | D4 | semidirect |
| 58. C4⋊Dic61 | D4 | semidirect |
| 152. #340 | D61 | semidirect |
| 153. C61 | #1875 | semidirect |
| 205. C4⋊C4 | D244 | semidirect |