Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
528 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 221 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. #17989062 | C2 | semidirect |
| 2. #17988699 | C2 | semidirect |
| 3. D8×Dic73 | C2 | semidirect |
| 4. #17988625 | C2 | semidirect |
| 5. #17988592 | C2 | semidirect |
| 6. #17988542 | C2 | semidirect |
| 10. D4×Dic73 | C22 | semidirect |
| 14. #14556525 | C22 | semidirect |
| 15. #14556523 | C22 | semidirect |
| 16. #14556512 | C22 | semidirect |
| 17. #14556501 | C22 | semidirect |
| 18. C8×Dic73 | C22 | semidirect |
| 20. C2×D8×C73 | C4 | semidirect |
| 37. C2×D4×C73 | C2×C4 | semidirect |
| 40. D8×C73 | C2×C4 | semidirect |
| 41. D8×C73 | C2×C4 | semidirect |
| 42. C2×C8×C73 | C2×C4 | semidirect |
| 78. C73 | #2948 | semidirect |
| 87. C2×D8 | Dic73 | semidirect |
| 105. C2×D4 | C2×Dic73 | semidirect |
| 109. D8 | C2×Dic73 | semidirect |
| 110. D8 | C2×Dic73 | semidirect |
| 113. C2×C8 | C2×Dic73 | semidirect |