Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
298 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 23. #13133142 | C4 | semidirect |
| 24. #13133141 | C4 | semidirect |
| 25. #13133140 | C4 | semidirect |
| 26. #103×C53 | C4 | semidirect |
| 74. Q8×C53 | C4⋊C4 | semidirect |
| 92. Dic106 | C4⋊C4 | semidirect |
| 130. C53 | #1863 | semidirect |
| 148. #103 | #6157 | semidirect |
| 189. Q8 | C4⋊#6157 | semidirect |