Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16840049 | C2 | semidirect |
| 3. #16840047 | C2 | semidirect |
| 4. #16839993 | C2 | semidirect |
| 5. #16839964 | C2 | semidirect |
| 6. #16839962 | C2 | semidirect |
| 7. C2×C4⋊#92418 | C2 | semidirect |
| 8. C61×#533 | C2 | semidirect |
| 74. C2×C4×C61 | SD16 | semidirect |
| 113. #533 | D61 | semidirect |
| 121. C61 | #3246 | semidirect |
| 195. C2×C4 | #11758201 | semidirect |