Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
244 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 11. #13133217 | C4 | semidirect |
| 12. #13133208 | C4 | semidirect |
| 19. C4⋊Q8×C53 | C4 | semidirect |
| 28. C4×#6157 | Q8 | semidirect |
| 84. C53 | #1995 | semidirect |
| 87. C4⋊Q8 | #6157 | semidirect |