Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16810910 | C2 | semidirect |
| 3. #16810908 | C2 | semidirect |
| 4. #16810854 | C2 | semidirect |
| 5. #16810825 | C2 | semidirect |
| 6. #16810823 | C2 | semidirect |
| 7. C2×C4⋊#88322 | C2 | semidirect |
| 8. C53×#533 | C2 | semidirect |
| 74. C2×C4×C53 | SD16 | semidirect |
| 113. #533 | D53 | semidirect |
| 121. C53 | #3246 | semidirect |
| 195. C2×C4 | #11719924 | semidirect |