Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #17988988 | C2 | semidirect |
| 3. #17988970 | C2 | semidirect |
| 4. #17988940 | C2 | semidirect |
| 5. #17988828 | C2 | semidirect |
| 6. #17988814 | C2 | semidirect |
| 7. #17988681 | C2 | semidirect |
| 8. #17988678 | C2 | semidirect |
| 9. D8×Dic73 | C2 | semidirect |
| 10. C2×C8×Dic73 | C2 | semidirect |
| 119. C73 | #3168 | semidirect |