Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
280 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13133149 | C4 | semidirect |
| 11. C8×Dic53 | C4 | semidirect |
| 15. #106×C53 | C4 | semidirect |
| 51. C8×C53 | C42 | semidirect |
| 65. Dic53 | #106 | direct (N × H) |
| 77. C53 | C4×#106 | semidirect |
| 85. #106 | Dic53 | direct (N × H) |
| 124. C8 | C4×Dic53 | semidirect |