Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
260 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 69 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×#13133156 | C2 | semidirect |
| 3. #16810660 | C2 | semidirect |
| 4. #16810425 | C2 | semidirect |
| 5. #16810424 | C2 | semidirect |
| 6. #16810423 | C2 | semidirect |
| 7. C53×#357 | C2 | semidirect |
| 12. D8×D53 | C4 | semidirect |
| 16. C2×#11719908 | C22 | semidirect |
| 17. #13133151 | C22 | semidirect |
| 20. C2×C16×C53 | C22 | semidirect |
| 21. #107×C53 | C22 | semidirect |
| 93. #357 | D53 | semidirect |
| 94. C53 | #2140 | semidirect |
| 105. C2×C16 | C2×D53 | semidirect |
| 107. #107 | C2×D53 | semidirect |