Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. C2×Q8×Dic73 | C2 | semidirect |
| 3. #17988920 | C2 | semidirect |
| 5. #17988892 | C2 | semidirect |
| 6. #17988811 | C2 | semidirect |
| 8. #17988694 | C2 | semidirect |
| 9. #17988690 | C2 | semidirect |
| 10. #17988641 | C2 | semidirect |
| 11. #451×C73 | C2 | semidirect |
| 132. C73 | #3117 | semidirect |
| 139. #451 | D73 | semidirect |