Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
334 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 62 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. #17989558 | C2 | semidirect |
| 2. C2×(C2×#64408)⋊C4 | C2 | semidirect |
| 3. #17989440 | C2 | semidirect |
| 4. #17989438 | C2 | semidirect |
| 12. C2×#11924027 | C4 | semidirect |
| 16. #14556570 | C4 | semidirect |
| 21. #14556549 | C4 | semidirect |
| 22. #121×C73 | C4 | semidirect |
| 31. C2×Dic146 | C2×C4 | semidirect |
| 42. C4⋊Dic73 | C2×C4 | semidirect |
| 50. C2×D4×C73 | C2×C4 | semidirect |
| 52. C4⋊C4×C73 | C2×C4 | semidirect |
| 120. C73 | #1504 | semidirect |
| 134. #121 | #64408 | semidirect |
| 149. C2×D4 | C2×#64408 | semidirect |
| 167. C4⋊C4 | C2×#64408 | semidirect |