Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13094050 | C2 | semidirect |
| 2. C2×#13094046 | C2 | semidirect |
| 3. #15689690 | C2 | semidirect |
| 4. #15689604 | C2 | semidirect |
| 5. #15689344 | C2 | semidirect |
| 6. #15689337 | C2 | semidirect |
| 7. #15689322 | C2 | semidirect |
| 8. #15689317 | C2 | semidirect |
| 9. #15689149 | C2 | semidirect |
| 10. #15689122 | C2 | semidirect |
| 11. C2×#102×C47 | C2 | semidirect |
| 16. C2×Dic188 | C22 | semidirect |
| 17. C2×#10625325 | C22 | semidirect |
| 18. C2×#10625325 | C22 | semidirect |
| 20. C2×D376 | C22 | semidirect |
| 28. #13093989 | C22 | semidirect |
| 29. #13093986 | C22 | semidirect |
| 34. Dic47⋊C8 | C22 | semidirect |
| 35. Dic47⋊C8 | C22 | semidirect |
| 36. #13093947 | C22 | semidirect |
| 37. #13093944 | C22 | semidirect |
| 57. #10625350 | D4 | semidirect |
| 165. C2×#102 | D47 | semidirect |
| 166. C47 | #3045 | semidirect |