Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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. Q8×Dic146 | C2 | semidirect |
| 3. #17988934 | C2 | semidirect |
| 4. #17988932 | C2 | semidirect |
| 5. #17988877 | C2 | semidirect |
| 6. #17988876 | C2 | semidirect |
| 7. #17988787 | C2 | semidirect |
| 8. #17988785 | C2 | semidirect |
| 9. C8×Dic146 | C2 | semidirect |
| 10. #17988672 | C2 | semidirect |
| 11. C4×SD16×C73 | C2 | semidirect |
| 77. Q8×C73 | #41 | semidirect |
| 99. Dic146 | SD16 | semidirect |
| 126. C73 | #3362 | semidirect |
| 137. C4×SD16 | D73 | semidirect |
| 206. Q8 | #11924028 | semidirect |