Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
290 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 70 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×#14556660 | C2 | semidirect |
| 4. C4⋊C4×#64408 | C2 | semidirect |
| 5. #17989460 | C2 | semidirect |
| 6. #17989452 | C2 | semidirect |
| 21. #14556513 | C4 | semidirect |
| 22. #14556512 | C4 | semidirect |
| 23. #14556511 | C4 | semidirect |
| 24. #102×C73 | C4 | semidirect |
| 135. C73 | #1925 | semidirect |
| 158. #102 | #64408 | semidirect |