Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
220 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 66 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 |
|---|---|---|
| 12. #13133216 | C4 | semidirect |
| 13. #13133215 | C4 | semidirect |
| 19. C4×Dic106 | C4 | semidirect |
| 22. C4×Q8×C53 | C4 | semidirect |
| 98. C53 | #1518 | semidirect |
| 107. C4×Q8 | #6157 | semidirect |