Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
336 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 85 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×#14519705 | C2 | semidirect |
| 3. C2×#14519704 | C2 | semidirect |
| 4. C2×#14519703 | C2 | semidirect |
| 5. M16×Dic61 | C2 | semidirect |
| 6. C4×#11758196 | C2 | semidirect |
| 7. C2×#104×C61 | C2 | semidirect |
| 10. #14519775 | C4 | semidirect |
| 11. #14519773 | C4 | semidirect |
| 12. #14519766 | C4 | semidirect |
| 13. #14519764 | C4 | semidirect |
| 55. M16×C61 | D4 | semidirect |
| 73. #11758194 | D4 | semidirect |
| 140. Dic61 | #104 | semidirect |
| 153. C2×#104 | D61 | semidirect |
| 156. C61 | #1980 | semidirect |
| 206. M16 | C22⋊D61 | semidirect |