Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
296 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 13. #13133278 | C4 | semidirect |
| 18. #13133136 | C4 | semidirect |
| 19. #13133135 | C4 | semidirect |
| 20. #101×C53 | C4 | semidirect |
| 74. #6157 | #101 | direct (N × H) |
| 90. C53 | C4×#101 | semidirect |
| 103. #101 | #6157 | direct (N × H) |