Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
390 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 133 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. #16840092 | C2 | semidirect |
| 4. #16840069 | C2 | semidirect |
| 5. #16839984 | C2 | semidirect |
| 6. #16839918 | C2 | semidirect |
| 8. C4×#11758202 | C2 | semidirect |
| 9. C4×#11758201 | C2 | semidirect |
| 10. #16839815 | C2 | semidirect |
| 11. C2×C4×Q8×C61 | C2 | semidirect |
| 133. C2×C4×Q8 | D61 | semidirect |
| 143. C61 | #3108 | semidirect |