Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
1412 conjugacy classes of subgroups; only the 545 normal subgroups are shown.
This group has 1412 conjugacy classes of subgroups — too many to draw. Only its 545 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. #17989423 | C2 | semidirect |
| 2. #17989402 | C2 | semidirect |
| 3. #17989395 | C2 | semidirect |
| 4. #17989385 | C2 | semidirect |
| 5. C2×#14556622 | C2 | semidirect |
| 6. #17989354 | C2 | semidirect |
| 7. C2×2−1+4×C73 | C2 | semidirect |
| 9. #14556638 | C22 | semidirect |
| 10. #14556637 | C22 | semidirect |
| 14. #14556622 | C22 | semidirect |
| 15. #14556622 | C22 | semidirect |
| 16. #14556621 | C22 | semidirect |
| 17. #14556617 | C22 | semidirect |
| 18. #14556616 | C22 | semidirect |
| 19. #14556611 | C22 | semidirect |
| 20. C2×#11924018 | C22 | semidirect |
| 21. C2×#11924015 | C22 | semidirect |
| 22. #14556598 | C22 | semidirect |
| 23. C2×#11924012 | C22 | semidirect |
| 25. 2−1+4×C73 | C22 | semidirect |
| 28. C2×#41×C73 | C22 | semidirect |
| 30. C22×Q8×C73 | C22 | semidirect |
| 113. C73 | #3586 | semidirect |
| 115. C2×2−1+4 | D73 | semidirect |
| 124. 2−1+4 | C2×D73 | semidirect |
| 131. C2×#41 | C2×D73 | semidirect |
| 133. C22×Q8 | C2×D73 | semidirect |