Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
460 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 127 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×Q16×D73 | C2 | semidirect |
| 4. #17988846 | C2 | semidirect |
| 5. #17988845 | C2 | semidirect |
| 6. #17988842 | C2 | semidirect |
| 7. #17988827 | C2 | semidirect |
| 8. #17988826 | C2 | semidirect |
| 9. #17988622 | C2 | semidirect |
| 10. #17988594 | C2 | semidirect |
| 11. #470×C73 | C2 | semidirect |
| 134. C73 | #3059 | semidirect |
| 141. #470 | D73 | semidirect |