Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
490 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 490 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. C22×#11924015 | C2 | semidirect |
| 4. #17988809 | C2 | semidirect |
| 5. #17988787 | C2 | semidirect |
| 6. #17988614 | C2 | semidirect |
| 7. #17988591 | C2 | semidirect |
| 8. #17988581 | C2 | semidirect |
| 9. #519×C73 | C2 | semidirect |
| 13. C2×#11924018 | C22 | semidirect |
| 16. C2×#11924015 | C22 | semidirect |
| 23. C4⋊#10596831 | C22 | semidirect |
| 24. #14556514 | C22 | semidirect |
| 26. #14556511 | C22 | semidirect |
| 29. C4×Q8×C73 | C22 | semidirect |
| 55. C2×Q8×C73 | D4 | semidirect |
| 117. C73 | #3043 | semidirect |
| 121. #519 | D73 | semidirect |
| 142. C4×Q8 | C2×D73 | semidirect |
| 156. C2×Q8 | D292 | semidirect |