Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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. #17989118 | C2 | semidirect |
| 2. #17988987 | C2 | semidirect |
| 3. #17988970 | C2 | semidirect |
| 4. #17988940 | C2 | semidirect |
| 5. #17988845 | C2 | semidirect |
| 6. #17988831 | C2 | semidirect |
| 7. #17988699 | C2 | semidirect |
| 8. #17988693 | C2 | semidirect |
| 9. #17988684 | C2 | semidirect |
| 10. M16×Dic73 | C2 | semidirect |
| 110. C73 | #3183 | semidirect |