Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
374 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×C4×Dic106 | C2 | semidirect |
| 3. C2×#13133142 | C2 | semidirect |
| 6. #16810386 | C2 | semidirect |
| 7. C53×#336 | C2 | semidirect |
| 12. C2×#11719913 | C4 | semidirect |
| 75. C2×C4×C53 | SD16 | semidirect |
| 98. Dic106 | C22⋊C4 | semidirect |
| 139. #336 | D53 | semidirect |
| 140. C53 | #1880 | semidirect |
| 225. C2×C4 | #11719913 | semidirect |