Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
324 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 66 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. #17989667 | C2 | semidirect |
| 2. #17989586 | C2 | semidirect |
| 3. #17989579 | C2 | semidirect |
| 4. D73⋊#100 | C2 | semidirect |
| 5. #17989469 | C2 | semidirect |
| 6. #17989456 | C2 | semidirect |
| 22. C2×#11924015 | C4 | semidirect |
| 23. C2×D584 | C4 | semidirect |
| 24. C2×#11924013 | C4 | semidirect |
| 26. C2×SD16×C73 | C4 | semidirect |
| 126. C73 | #1903 | semidirect |
| 139. C2×SD16 | #64408 | semidirect |