Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
544 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#11924016 | C2 | semidirect |
| 2. C22×#11924012 | C2 | semidirect |
| 3. C2×#14556570 | C2 | semidirect |
| 4. #17988831 | C2 | direct (N × H) |
| 5. C2×#14556524 | C2 | semidirect |
| 6. C2×#14556514 | C2 | semidirect |
| 7. C2×#14556512 | C2 | semidirect |
| 11. C2×#11924016 | C22 | semidirect |
| 13. C2×#11924012 | C22 | semidirect |
| 17. #14556570 | C22 | semidirect |
| 21. #14556524 | C22 | semidirect |
| 22. #14556514 | C22 | semidirect |
| 23. #14556512 | C22 | semidirect |
| 40. C2×#10596831 | D4 | semidirect |
| 97. #10596831 | C2×D4 | semidirect |
| 119. C2×C73 | #468 | semidirect |
| 124. C73 | C2×#468 | semidirect |
| 243. C2 | #17988831 | direct (N × H) |