Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
396 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 76 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. #16811626 | C2 | semidirect |
| 2. C2×#13133277 | C2 | semidirect |
| 3. C4×#11719940 | C2 | semidirect |
| 41. #11719940 | D4 | semidirect |
| 91. C4×C53 | #100 | semidirect |
| 93. Dic53 | #100 | semidirect |
| 108. C53 | #1965 | semidirect |
| 200. C4 | #13133277 | semidirect |