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 |
|---|---|---|
| 1. #17989192 | C2 | semidirect |
| 2. #17988986 | C2 | semidirect |
| 3. #17988963 | C2 | semidirect |
| 4. #17988953 | C2 | semidirect |
| 5. #17988951 | C2 | semidirect |
| 6. #17988838 | C2 | semidirect |
| 7. #17988821 | C2 | semidirect |
| 8. #17988697 | C2 | semidirect |
| 9. C4×#11924013 | C2 | semidirect |
| 10. #17988543 | C2 | semidirect |
| 11. #540×C73 | C2 | semidirect |
| 115. C73 | #3176 | semidirect |
| 117. #540 | D73 | semidirect |