Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #17988979 | C2 | semidirect |
| 3. #17988961 | C2 | semidirect |
| 4. #17988953 | C2 | semidirect |
| 5. #17988944 | C2 | semidirect |
| 6. #17988809 | C2 | semidirect |
| 7. #17988787 | C2 | semidirect |
| 8. #17988747 | C2 | semidirect |
| 9. #17988737 | C2 | semidirect |
| 10. #17988648 | C2 | semidirect |
| 11. #541×C73 | C2 | semidirect |
| 14. C2×#11924018 | C22 | semidirect |
| 17. C2×#11924015 | C22 | semidirect |
| 24. C4⋊#10596831 | C22 | semidirect |
| 25. #14556514 | C22 | semidirect |
| 28. #14556511 | C22 | semidirect |
| 30. #14556502 | C22 | semidirect |
| 31. C4×#10596831 | C22 | semidirect |
| 32. C4⋊Q8×C73 | C22 | semidirect |
| 35. #125×C73 | C22 | semidirect |
| 37. C4×Q8×C73 | C22 | semidirect |
| 123. C73 | #3222 | semidirect |
| 124. #541 | D73 | semidirect |
| 141. C4⋊Q8 | C2×D73 | semidirect |
| 146. #125 | C2×D73 | semidirect |
| 152. C4×Q8 | C2×D73 | semidirect |