Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. Q8×D292 | C2 | semidirect |
| 3. #17988938 | C2 | semidirect |
| 4. #17988931 | C2 | semidirect |
| 5. #17988882 | C2 | semidirect |
| 6. #17988832 | C2 | semidirect |
| 7. #17988792 | C2 | semidirect |
| 8. #17988724 | C2 | semidirect |
| 9. #17988666 | C2 | semidirect |
| 10. #17988594 | C2 | semidirect |
| 11. C4×SD16×C73 | C2 | semidirect |
| 127. C73 | #3329 | semidirect |
| 136. C4×SD16 | D73 | semidirect |