Finite Group DatabasebetaFinite Group DatabasebetaOrder 6976.
106 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 37 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. #16812657 | C2 | semidirect |
| 3. #16812632 | C2 | semidirect |
| 4. #16812621 | C2 | semidirect |
| 5. #16812619 | C2 | semidirect |
| 6. #16812611 | C2 | semidirect |
| 7. #106×C109 | C2 | semidirect |
| 51. C109 | #482 | semidirect |
| 56. #106 | D109 | semidirect |