Finite Group DatabasebetaFinite Group DatabasebetaOrder 6976.
120 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 51 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. C4×Dic218 | C2 | semidirect |
| 3. #16812632 | C2 | semidirect |
| 4. #16812622 | C2 | semidirect |
| 6. #16812610 | C2 | semidirect |
| 9. #13182017 | C4 | semidirect |
| 31. Dic218 | C2×C4 | semidirect |
| 33. #11724784 | C2×C4 | semidirect |
| 49. C109 | #440 | semidirect |