Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
284 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 284 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. #17989606 | C2 | semidirect |
| 2. C4×C4⋊#64408 | C2 | semidirect |
| 3. #17989438 | C2 | semidirect |
| 12. #14556591 | C4 | semidirect |
| 17. D4×Dic73 | C4 | semidirect |
| 19. #127×C73 | C4 | semidirect |
| 90. C73 | #1502 | semidirect |
| 97. #127 | #64408 | semidirect |