Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
228 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 6. #13133288 | C4 | direct (N × H) |
| 53. C4×C53 | #108 | semidirect |
| 57. Dic53 | #108 | semidirect |
| 68. C53 | C4×#108 | semidirect |
| 120. C4 | #13133288 | direct (N × H) |