Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
346 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 79 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. #16840236 | C2 | semidirect |
| 3. #16839780 | C2 | semidirect |
| 4. #16839766 | C2 | semidirect |
| 5. #16839735 | C2 | semidirect |
| 6. #16839533 | C2 | semidirect |
| 7. C61×H(3,ℤ/4) | C2 | semidirect |
| 12. C2×#11758190 | C4 | semidirect |
| 13. C2×D488 | C4 | semidirect |
| 36. C2×D244 | C2×C4 | semidirect |
| 41. C2×Dic122 | C2×C4 | semidirect |
| 44. C2×C8×C61 | C2×C4 | semidirect |
| 122. H(3,ℤ/4) | D61 | semidirect |
| 123. C61 | #1904 | semidirect |
| 165. C2×C8 | C4×D61 | semidirect |