Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14556599 | C2 | semidirect |
| 3. #17989161 | C2 | semidirect |
| 4. #17988842 | C2 | semidirect |
| 5. #17988830 | C2 | semidirect |
| 6. #17988825 | C2 | semidirect |
| 7. #17988813 | C2 | semidirect |
| 8. #17988629 | C2 | semidirect |
| 9. #17988583 | C2 | semidirect |
| 10. C2×#14556515 | C2 | semidirect |
| 11. C2×#137×C73 | C2 | semidirect |
| 83. M16×C73 | D4 | semidirect |
| 144. C73 | #3063 | semidirect |
| 145. C2×#137 | D73 | semidirect |
| 210. M16 | C22⋊D73 | semidirect |