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×#14556616 | C2 | semidirect |
| 2. C22×D584 | C2 | semidirect |
| 3. #17989151 | C2 | semidirect |
| 4. #17988973 | C2 | semidirect |
| 5. #17988972 | C2 | semidirect |
| 6. #17988962 | C2 | semidirect |
| 7. #17988542 | C2 | semidirect |
| 8. C2×#135×C73 | C2 | semidirect |
| 11. C2×#11924015 | C22 | semidirect |
| 15. C2×#11924013 | C22 | semidirect |
| 17. #14556587 | C22 | semidirect |
| 18. #14556580 | C22 | semidirect |
| 22. #14556501 | C22 | semidirect |
| 23. C8×Dic73 | C22 | semidirect |
| 26. C2×Q16×C73 | C22 | semidirect |
| 27. C2×SD16×C73 | C22 | semidirect |
| 28. C2×D8×C73 | C22 | semidirect |
| 40. #11924012 | D4 | semidirect |
| 56. C2×C8×C73 | D4 | semidirect |
| 102. C73 | #3155 | semidirect |
| 104. C2×#135 | D73 | semidirect |
| 115. C2×Q16 | C2×D73 | semidirect |
| 117. C2×SD16 | C2×D73 | semidirect |
| 122. C2×D8 | C2×D73 | semidirect |
| 154. C2×C8 | C22⋊D73 | semidirect |