Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 117 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. #17989297 | C2 | semidirect |
| 3. #17988934 | C2 | semidirect |
| 4. #17988902 | C2 | semidirect |
| 5. #17988882 | C2 | semidirect |
| 6. #17988836 | C2 | semidirect |
| 7. #17988787 | C2 | semidirect |
| 8. #17988748 | C2 | semidirect |
| 9. #17988666 | C2 | semidirect |
| 10. #17988587 | C2 | semidirect |
| 11. C4×Q16×C73 | C2 | semidirect |
| 129. C73 | #3333 | semidirect |
| 138. C4×Q16 | D73 | semidirect |