Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
290 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 95 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×#13133151 | C2 | semidirect |
| 5. C4×C4⋊Dic53 | C2 | semidirect |
| 6. #16810386 | C2 | semidirect |
| 7. C53×#336 | C2 | semidirect |
| 17. #13133139 | C4 | semidirect |
| 125. #336 | D53 | semidirect |
| 126. C53 | #1925 | semidirect |