Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
290 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 1. C2×#13133286 | C2 | semidirect |
| 4. C4⋊C4×#6157 | C2 | semidirect |
| 5. #16811496 | C2 | semidirect |
| 6. (C2×#6157)⋊C8 | C2 | semidirect |
| 21. #13133139 | C4 | semidirect |
| 22. #13133138 | C4 | semidirect |
| 23. #13133137 | C4 | semidirect |
| 24. #102×C53 | C4 | semidirect |
| 142. C53 | #1925 | semidirect |
| 158. #102 | #6157 | semidirect |