Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 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×#13094052 | C2 | semidirect |
| 2. C22×#10625334 | C2 | semidirect |
| 3. #15689690 | C2 | semidirect |
| 4. #15689597 | C2 | semidirect |
| 5. #15689337 | C2 | semidirect |
| 6. #15689317 | C2 | semidirect |
| 7. #15689151 | C2 | semidirect |
| 8. #15689117 | C2 | semidirect |
| 9. C47×#418 | C2 | semidirect |
| 13. C2×#10625325 | C22 | semidirect |
| 14. C2×D376 | C22 | semidirect |
| 18. #13094020 | C22 | semidirect |
| 19. #13094011 | C22 | semidirect |
| 23. #13093986 | C22 | semidirect |
| 26. Dic47⋊C8 | C22 | semidirect |
| 27. #13093947 | C22 | semidirect |
| 28. #13093944 | C22 | semidirect |
| 32. #102×C47 | C22 | semidirect |
| 46. C2×D188 | D4 | semidirect |
| 129. #418 | D47 | semidirect |
| 131. C47 | #3041 | semidirect |
| 154. #102 | C2×D47 | semidirect |