Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
462 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 139 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. #15689830 | C2 | semidirect |
| 3. #15689470 | C2 | semidirect |
| 4. #15689442 | C2 | semidirect |
| 5. #15689414 | C2 | semidirect |
| 6. #15689352 | C2 | semidirect |
| 7. #15689324 | C2 | semidirect |
| 8. #15689276 | C2 | semidirect |
| 9. C4×#10625325 | C2 | semidirect |
| 10. C2×#13093946 | C2 | semidirect |
| 11. C8×D4×C47 | C2 | semidirect |
| 15. C2×#10625325 | C22 | semidirect |
| 16. #13094024 | C22 | semidirect |
| 19. #13094003 | C22 | semidirect |
| 24. C4×Dic94 | C22 | semidirect |
| 27. C2×C4⋊Dic47 | C22 | semidirect |
| 28. #13093956 | C22 | semidirect |
| 29. #13093956 | C22 | semidirect |
| 30. #13093949 | C22 | semidirect |
| 33. #13093946 | C22 | semidirect |
| 34. #13093946 | C22 | semidirect |
| 35. #13093946 | C22 | semidirect |
| 36. C22×C8×C47 | C22 | semidirect |
| 38. C4⋊C8×C47 | C22 | semidirect |
| 39. C22⋊C8×C47 | C22 | semidirect |
| 40. C4×C8×C47 | C22 | semidirect |
| 83. D4×C47 | SD16 | semidirect |
| 146. C8×D4 | D47 | semidirect |
| 148. C47 | #3295 | semidirect |
| 153. C22×C8 | C2×D47 | semidirect |
| 169. C4⋊C8 | C2×D47 | semidirect |
| 176. C22⋊C8 | C2×D47 | semidirect |
| 177. C4×C8 | C2×D47 | semidirect |
| 231. D4 | #10625325 | semidirect |