Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
756 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 198 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. #17989665 | C2 | semidirect |
| 2. #17989574 | C2 | semidirect |
| 3. #17989573 | C2 | semidirect |
| 4. D73⋊#100 | C2 | semidirect |
| 5. C2×#14556651 | C2 | semidirect |
| 8. D73⋊M16 | C22 | semidirect |
| 9. C2×#11924037 | C22 | semidirect |
| 10. #14556652 | C22 | semidirect |
| 11. #14556651 | C22 | semidirect |
| 12. #14556651 | C22 | semidirect |
| 132. C73 | #2888 | semidirect |