Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
364 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 123 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. #17989302 | C2 | semidirect |
| 2. #17988990 | C2 | semidirect |
| 3. #17988911 | C2 | semidirect |
| 4. #17988908 | C2 | semidirect |
| 5. #17988877 | C2 | semidirect |
| 6. #17988874 | C2 | semidirect |
| 7. #17988821 | C2 | semidirect |
| 8. C4×#11924013 | C2 | semidirect |
| 9. D4×#10596831 | C2 | semidirect |
| 10. #17988623 | C2 | semidirect |
| 11. #555×C73 | C2 | semidirect |
| 126. C73 | #3341 | semidirect |
| 128. #555 | D73 | semidirect |