Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13094055 | C2 | semidirect |
| 2. C2×#13094050 | C2 | semidirect |
| 3. C2×#13094046 | C2 | semidirect |
| 4. #15689697 | C2 | semidirect |
| 5. #15689690 | C2 | semidirect |
| 6. #15689514 | C2 | semidirect |
| 7. #15689509 | C2 | semidirect |
| 8. #15689504 | C2 | semidirect |
| 9. #15689494 | C2 | semidirect |
| 10. #15689078 | C2 | semidirect |
| 11. C22×SD16×C47 | C2 | semidirect |
| 17. C2×Dic188 | C22 | semidirect |
| 18. C2×#10625337 | C22 | semidirect |
| 19. C2×#10625325 | C22 | semidirect |
| 20. C2×#10625325 | C22 | semidirect |
| 22. C2×#10625336 | C22 | semidirect |
| 23. C2×D376 | C22 | semidirect |
| 26. #13094022 | C22 | semidirect |
| 28. #13094013 | C22 | semidirect |
| 35. #13093934 | C22 | semidirect |
| 36. C8×Dic47 | C22 | semidirect |
| 69. C2×C8×C47 | D4 | semidirect |
| 82. #10625329 | D4 | semidirect |
| 152. C22×SD16 | D47 | semidirect |
| 160. C47 | #3154 | semidirect |
| 228. C2×C8 | C22⋊D47 | semidirect |