Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
300 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 3. #17989552 | C2 | semidirect |
| 4. C2×C8×#64408 | C2 | semidirect |
| 5. #17989463 | C2 | semidirect |
| 6. #17989457 | C2 | semidirect |
| 9. #14556679 | C4 | semidirect |
| 16. #14556656 | C4 | semidirect |
| 23. #14556515 | C4 | semidirect |
| 24. #14556513 | C4 | semidirect |
| 25. #14556511 | C4 | semidirect |
| 26. #103×C73 | C4 | semidirect |
| 110. C73 | #1764 | semidirect |
| 131. #103 | #64408 | semidirect |