Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14556617 | C2 | semidirect |
| 2. C2×#14556613 | C2 | semidirect |
| 3. #17989154 | C2 | semidirect |
| 4. #17988975 | C2 | semidirect |
| 5. #17988970 | C2 | semidirect |
| 6. #17988962 | C2 | semidirect |
| 7. #17988542 | C2 | semidirect |
| 8. C22×D8×C73 | C2 | semidirect |
| 12. C2×Dic292 | C22 | semidirect |
| 13. C2×#11924017 | C22 | semidirect |
| 14. C2×#11924016 | C22 | semidirect |
| 15. C2×D584 | C22 | semidirect |
| 16. C2×#11924013 | C22 | semidirect |
| 18. #14556587 | C22 | semidirect |
| 19. #14556578 | C22 | semidirect |
| 23. #14556501 | C22 | semidirect |
| 24. C8×Dic73 | C22 | semidirect |
| 42. #11924012 | D4 | semidirect |
| 56. C2×C8×C73 | D4 | semidirect |
| 102. C73 | #3155 | semidirect |
| 105. C22×D8 | D73 | semidirect |
| 154. C2×C8 | C22⋊D73 | semidirect |