Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689833 | C2 | semidirect |
| 3. #15689470 | C2 | semidirect |
| 4. #15689443 | C2 | semidirect |
| 5. #15689413 | C2 | semidirect |
| 6. #15689355 | C2 | semidirect |
| 7. #15689323 | C2 | semidirect |
| 8. #15689272 | C2 | semidirect |
| 9. C8×D188 | C2 | semidirect |
| 10. #102×D47 | C2 | semidirect |
| 11. C4×SD16×C47 | C2 | semidirect |
| 14. C2×#10625336 | C22 | semidirect |
| 15. C2×C8×D47 | C22 | semidirect |
| 16. #13094024 | C22 | semidirect |
| 20. #13094000 | C22 | semidirect |
| 26. C4⋊C4×D47 | C22 | semidirect |
| 27. #13093955 | C22 | semidirect |
| 28. C4⋊(C47⋊C8) | C22 | semidirect |
| 29. #13093946 | C22 | semidirect |
| 30. #13093946 | C22 | semidirect |
| 32. #13093944 | C22 | semidirect |
| 33. (C2×D47)⋊C8 | C22 | semidirect |
| 35. C4×Q8×C47 | C22 | semidirect |
| 37. #106×C47 | C22 | semidirect |
| 38. #103×C47 | C22 | semidirect |
| 40. C4×C8×C47 | C22 | semidirect |
| 102. D188 | SD16 | semidirect |
| 145. C4×SD16 | D47 | semidirect |
| 148. C47 | #3295 | semidirect |
| 162. C4×Q8 | C2×D47 | semidirect |
| 168. #106 | C2×D47 | semidirect |
| 170. #103 | C2×D47 | semidirect |
| 177. C4×C8 | C2×D47 | semidirect |