Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
488 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 146 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. #17989457 | C2 | direct (N × H) |
| 8. C2×#11924038 | C4 | semidirect |
| 13. C2×C4×#64408 | C4 | semidirect |
| 18. #14556549 | C4 | semidirect |
| 20. C2×C4⋊Dic73 | C4 | semidirect |
| 23. C2×C4⋊C4×C73 | C4 | semidirect |
| 30. #11924038 | C2×C4 | semidirect |
| 35. C4×#64408 | C2×C4 | semidirect |
| 48. C4⋊Dic73 | C2×C4 | semidirect |
| 56. C4⋊C4×C73 | C2×C4 | semidirect |
| 113. C2×C73 | #339 | semidirect |
| 121. C73 | C2×#339 | semidirect |
| 138. C2×C4⋊C4 | #64408 | semidirect |
| 170. C4⋊C4 | C2×#64408 | semidirect |
| 237. C2 | #17989457 | direct (N × H) |