Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
326 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 73 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. #16810587 | C2 | semidirect |
| 3. #16810356 | C2 | semidirect |
| 4. C53×#381 | C2 | semidirect |
| 5. C22×D212 | C4 | semidirect |
| 10. #13133191 | C4 | semidirect |
| 12. C2×C4⋊Dic53 | C4 | semidirect |
| 15. C22⋊#88322 | C22 | semidirect |
| 19. #95×C53 | C22 | semidirect |
| 105. #381 | D53 | semidirect |
| 107. C53 | #1510 | semidirect |
| 122. #95 | C2×D53 | semidirect |