Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #17989401 | C2 | semidirect |
| 2. #17989027 | C2 | semidirect |
| 3. #17989026 | C2 | semidirect |
| 4. #17989016 | C2 | semidirect |
| 5. C2×Dic584 | C2 | semidirect |
| 6. Q32×D73 | C2 | semidirect |
| 7. #17989003 | C2 | semidirect |
| 8. #508×C73 | C2 | semidirect |
| 82. C73 | #3417 | semidirect |
| 87. #508 | D73 | semidirect |