Finite Group DatabasebetaFinite Group DatabasebetaOrder 6784.
380 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 3. #16811032 | C2 | semidirect |
| 4. #16811028 | C2 | semidirect |
| 5. #16811021 | C2 | semidirect |
| 38. M16×C53 | Q8 | semidirect |
| 74. C8×C53 | C2×Q8 | semidirect |
| 100. C53 | #3165 | semidirect |
| 131. M16 | Dic106 | semidirect |
| 167. C8 | C2×Dic106 | semidirect |