Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 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. #17989300 | C2 | semidirect |
| 2. #17988991 | C2 | semidirect |
| 3. #17988913 | C2 | semidirect |
| 4. #17988911 | C2 | semidirect |
| 5. #17988876 | C2 | semidirect |
| 6. #17988824 | C2 | semidirect |
| 7. #17988823 | C2 | semidirect |
| 8. #17988669 | C2 | semidirect |
| 9. C8×C22⋊D73 | C2 | semidirect |
| 10. #17988624 | C2 | semidirect |
| 11. #427×C73 | C2 | semidirect |
| 121. C73 | #3341 | semidirect |
| 132. #427 | D73 | semidirect |