Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
126 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 32 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. #16811518 | C2 | semidirect |
| 2. #16811497 | C2 | semidirect |
| 6. C2×D424 | C4 | semidirect |
| 10. #107×C53 | C4 | semidirect |
| 63. C53 | #1347 | semidirect |
| 69. #107 | #6157 | semidirect |