Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
284 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #16810661 | C2 | semidirect |
| 2. #16810640 | C2 | semidirect |
| 3. #16810597 | C2 | semidirect |
| 4. #16810578 | C2 | semidirect |
| 20. C2×Q16×C53 | C4 | semidirect |
| 21. C2×SD16×C53 | C4 | semidirect |
| 22. C2×D8×C53 | C4 | semidirect |
| 102. C53 | #1976 | semidirect |
| 108. C2×Q16 | Dic53 | semidirect |
| 109. C2×SD16 | Dic53 | semidirect |
| 110. C2×D8 | Dic53 | semidirect |