Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
224 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 60 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×#13133288 | C2 | semidirect |
| 4. #16811588 | C2 | semidirect |
| 5. #16811493 | C2 | semidirect |
| 6. (C2×#6157)⋊C8 | C2 | semidirect |
| 21. #13133141 | C4 | semidirect |
| 22. #13133139 | C4 | semidirect |
| 23. #13133137 | C4 | semidirect |
| 24. #103×C53 | C4 | semidirect |
| 113. C53 | #1929 | semidirect |
| 124. #103 | #6157 | semidirect |