Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
142 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 57 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. #16811028 | C2 | semidirect |
| 2. #16810448 | C2 | semidirect |
| 3. C4⋊#11719908 | C2 | semidirect |
| 19. D8×C53 | Q8 | semidirect |
| 61. C53 | #2224 | semidirect |
| 75. D8 | Dic106 | semidirect |