Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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×D292 | C2 | semidirect |
| 3. #17988938 | C2 | semidirect |
| 4. #17988919 | C2 | semidirect |
| 5. #17988872 | C2 | semidirect |
| 6. #17988815 | C2 | semidirect |
| 7. #17988792 | C2 | semidirect |
| 8. #17988724 | C2 | semidirect |
| 9. C8×D292 | C2 | semidirect |
| 10. #103×D73 | C2 | semidirect |
| 11. C4×SD16×C73 | C2 | semidirect |
| 80. Q8×C73 | #41 | semidirect |
| 94. D292 | SD16 | semidirect |
| 129. C73 | #3298 | semidirect |
| 138. C4×SD16 | D73 | semidirect |
| 213. Q8 | #11924028 | semidirect |