Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
384 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 123 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. #17989322 | C2 | semidirect |
| 2. #17988969 | C2 | semidirect |
| 4. #17988802 | C2 | semidirect |
| 5. #17988799 | C2 | semidirect |
| 6. #17988787 | C2 | semidirect |
| 7. #17988784 | C2 | semidirect |
| 8. Q8×#10596831 | C2 | semidirect |
| 9. C4×#11924018 | C2 | semidirect |
| 10. C4×#11924013 | C2 | semidirect |
| 11. #559×C73 | C2 | semidirect |
| 128. C73 | #3396 | semidirect |
| 130. #559 | D73 | semidirect |