Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17989294 | C2 | semidirect |
| 2. #17989258 | C2 | semidirect |
| 3. #17988950 | C2 | semidirect |
| 4. #17988934 | C2 | semidirect |
| 5. #17988890 | C2 | semidirect |
| 6. #17988877 | C2 | semidirect |
| 7. #17988782 | C2 | semidirect |
| 8. #17988780 | C2 | semidirect |
| 9. #17988717 | C2 | semidirect |
| 10. #17988696 | C2 | semidirect |
| 11. C4×D8×C73 | C2 | semidirect |
| 80. D4×C73 | #41 | semidirect |
| 130. C73 | #3366 | semidirect |
| 141. C4×D8 | D73 | semidirect |
| 218. D4 | #11924028 | semidirect |