Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 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. #17989322 | C2 | semidirect |
| 2. #17989307 | C2 | semidirect |
| 3. #17988968 | C2 | semidirect |
| 4. #17988960 | C2 | semidirect |
| 5. #17988812 | C2 | semidirect |
| 6. #17988801 | C2 | semidirect |
| 7. #17988797 | C2 | semidirect |
| 9. C8×Dic146 | C2 | semidirect |
| 10. #17988674 | C2 | semidirect |
| 11. C4×SD16×C73 | C2 | semidirect |
| 126. C73 | #3394 | semidirect |
| 137. C4×SD16 | D73 | semidirect |