Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
230 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 60 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. #17989594 | C2 | semidirect |
| 4. C2×C8×#64408 | C2 | semidirect |
| 5. #17989463 | C2 | semidirect |
| 6. #17989457 | C2 | semidirect |
| 21. #14556516 | C4 | semidirect |
| 22. #14556514 | C4 | semidirect |
| 23. #14556512 | C4 | semidirect |
| 24. #102×C73 | C4 | semidirect |
| 106. C73 | #1937 | semidirect |
| 127. #102 | #64408 | semidirect |