Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 74 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. C2×#13133275 | C2 | semidirect |
| 2. #16811565 | C2 | semidirect |
| 3. C4×C22⋊#6157 | C2 | semidirect |
| 18. C2×C4⋊Dic53 | C4 | semidirect |
| 19. C2×C22⋊Dic53 | C4 | semidirect |
| 20. C22×D4×C53 | C4 | semidirect |
| 42. C22⋊#6157 | D4 | semidirect |
| 103. C4×C53 | #99 | semidirect |
| 120. C53 | #1964 | semidirect |
| 122. C22×D4 | #6157 | semidirect |
| 222. C4 | #13133275 | semidirect |