Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
132 conjugacy classes of subgroups; only the 48 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 48 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 |
|---|---|---|
| 7. D53⋊C16 | C4 | semidirect |
| 9. #13133285 | C4 | semidirect |
| 13. #13133149 | C4 | semidirect |
| 14. #106×C53 | C4 | semidirect |
| 63. C53 | #1384 | semidirect |
| 74. #106 | #6157 | semidirect |