Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
162 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 53 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. #13133136 | C4 | semidirect |
| 11. C2×M16×C53 | C4 | semidirect |
| 12. C22×C8×C53 | C4 | semidirect |
| 77. C53 | #1395 | semidirect |
| 80. C2×M16 | Dic53 | semidirect |
| 81. C22×C8 | Dic53 | semidirect |