Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
284 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 89 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. #16810676 | C2 | semidirect |
| 3. #16810356 | C2 | semidirect |
| 4. C4×C4⋊C4×C53 | C2 | semidirect |
| 6. #13133217 | C4 | semidirect |
| 7. #13133214 | C4 | semidirect |
| 12. C4×D212 | C4 | semidirect |
| 92. C4×C4⋊C4 | D53 | semidirect |
| 94. C53 | #1502 | semidirect |