Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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×#14556622 | C2 | semidirect |
| 2. C2×#14556616 | C2 | semidirect |
| 3. C2×#14556611 | C2 | semidirect |
| 4. C22×#11924015 | C2 | semidirect |
| 5. #17989156 | C2 | semidirect |
| 6. #17988979 | C2 | semidirect |
| 7. #17988977 | C2 | semidirect |
| 8. #17988969 | C2 | semidirect |
| 9. #17988961 | C2 | semidirect |
| 10. #17988543 | C2 | semidirect |
| 11. #536×C73 | C2 | semidirect |
| 17. C2×#11924018 | C22 | semidirect |
| 18. C2×#11924018 | C22 | semidirect |
| 19. C2×#11924016 | C22 | semidirect |
| 24. C2×#11924015 | C22 | semidirect |
| 25. C2×#11924015 | C22 | semidirect |
| 27. C2×#11924013 | C22 | semidirect |
| 34. #14556502 | C22 | semidirect |
| 35. C4×#10596831 | C22 | semidirect |
| 38. C4⋊Q8×C73 | C22 | semidirect |
| 39. #124×C73 | C22 | semidirect |
| 65. #11924012 | D4 | semidirect |
| 66. C2×#10596831 | D4 | semidirect |
| 149. C73 | #3154 | semidirect |
| 154. #536 | D73 | semidirect |
| 181. C4⋊Q8 | C2×D73 | semidirect |
| 184. #124 | C2×D73 | semidirect |