Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
280 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 10. #13133150 | C4 | direct (N × H) |
| 11. C4×#88322 | C4 | semidirect |
| 51. #88322 | C42 | semidirect |
| 59. C4×C53 | #107 | semidirect |
| 75. C53 | C4×#107 | semidirect |
| 130. C4 | #13133150 | direct (N × H) |