Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
332 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 10. Q8×#6157 | C4 | semidirect |
| 17. #13133280 | C4 | semidirect |
| 23. #13133142 | C4 | semidirect |
| 24. #13133141 | C4 | semidirect |
| 25. #13133140 | C4 | semidirect |
| 26. #103×C53 | C4 | semidirect |
| 74. Q8×C53 | C42 | semidirect |
| 92. Dic106 | C42 | semidirect |
| 106. #6157 | #103 | direct (N × H) |
| 130. C53 | C4×#103 | semidirect |
| 147. #103 | #6157 | direct (N × H) |
| 189. Q8 | C4×#6157 | semidirect |