Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
466 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 466 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. #15689636 | C2 | semidirect |
| 2. C2×#13093999 | C2 | semidirect |
| 3. #15689449 | C2 | semidirect |
| 4. #15689436 | C2 | semidirect |
| 5. #15689377 | C2 | semidirect |
| 6. #15689372 | C2 | semidirect |
| 7. #15689273 | C2 | semidirect |
| 8. #15689271 | C2 | semidirect |
| 9. #15689259 | C2 | semidirect |
| 10. #15689085 | C2 | semidirect |
| 11. C47×#483 | C2 | semidirect |
| 12. C2×#10625354 | C22 | semidirect |
| 16. C2×#10625336 | C22 | semidirect |
| 17. C2×D376 | C22 | semidirect |
| 18. C2×#10625324 | C22 | semidirect |
| 20. #13094000 | C22 | semidirect |
| 25. #13093999 | C22 | semidirect |
| 30. #13093982 | C22 | semidirect |
| 32. #13093957 | C22 | semidirect |
| 33. #13093946 | C22 | semidirect |
| 34. #13093944 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 37. (C2×D47)⋊C8 | C22 | semidirect |
| 40. #106×C47 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 161. #483 | D47 | semidirect |
| 170. C47 | #3194 | semidirect |
| 194. #106 | C2×D47 | semidirect |
| 195. #103 | C2×D47 | semidirect |