Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
114 conjugacy classes of subgroups; only the 26 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 26 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 |
|---|---|---|
| 1. #16811520 | C2 | semidirect |
| 2. #16811491 | C2 | semidirect |
| 6. C2×D424 | C4 | semidirect |
| 10. #106×C53 | C4 | semidirect |
| 56. C53 | #1339 | semidirect |
| 62. #106 | #6157 | semidirect |