Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
360 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 2. C4⋊C8×D53 | C2 | semidirect |
| 3. #16810367 | C2 | semidirect |
| 4. #16810366 | C2 | semidirect |
| 5. C53×#331 | C2 | semidirect |
| 13. C4⋊#88322 | C22 | semidirect |
| 16. C4⋊C8×C53 | C22 | semidirect |
| 75. D53 | #331 | direct (N × H) |
| 80. #331 | D53 | direct (N × H) |
| 81. C53 | C2×#331 | semidirect |
| 92. C4⋊C8 | C2×D53 | semidirect |