Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
264 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 85 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. #16810489 | C2 | semidirect |
| 3. #16810358 | C2 | semidirect |
| 4. C53×#431 | C2 | semidirect |
| 6. #13133217 | C4 | semidirect |
| 7. #13133214 | C4 | semidirect |
| 12. C4×D212 | C4 | semidirect |
| 90. #431 | D53 | semidirect |
| 93. C53 | #1517 | semidirect |