Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
448 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 138 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. #17989460 | C2 | semidirect |
| 8. D73⋊M16 | C4 | semidirect |
| 13. C2×C4⋊#64408 | C4 | semidirect |
| 16. #14556550 | C4 | semidirect |
| 17. #14556549 | C4 | semidirect |
| 23. #117×C73 | C4 | semidirect |
| 30. #11924036 | C2×C4 | semidirect |
| 46. C4⋊Dic73 | C2×C4 | semidirect |
| 53. C4⋊C4×C73 | C2×C4 | semidirect |
| 118. C73 | #1736 | semidirect |
| 134. #117 | #64408 | semidirect |
| 167. C4⋊C4 | C2×#64408 | semidirect |