Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 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. C22×#10625354 | C2 | semidirect |
| 2. C2×#13094055 | C2 | semidirect |
| 3. C2×#13094052 | C2 | semidirect |
| 4. #15689635 | C2 | semidirect |
| 5. #15689288 | C2 | semidirect |
| 6. #15689271 | C2 | semidirect |
| 7. #15689127 | C2 | semidirect |
| 8. #15689086 | C2 | semidirect |
| 9. C47×#419 | C2 | semidirect |
| 21. C2×#10625337 | C22 | semidirect |
| 22. C2×#10625325 | C22 | semidirect |
| 23. C2×#10625336 | C22 | semidirect |
| 24. C2×D376 | C22 | semidirect |
| 27. #13094004 | C22 | semidirect |
| 28. #13093999 | C22 | semidirect |
| 31. #13093944 | C22 | semidirect |
| 32. (C2×D47)⋊C8 | C22 | semidirect |
| 36. #103×C47 | C22 | semidirect |
| 41. C2×Q8×C47 | D4 | semidirect |
| 57. C2×D188 | D4 | semidirect |
| 152. #419 | D47 | semidirect |
| 155. C47 | #3005 | semidirect |
| 180. #103 | C2×D47 | semidirect |
| 193. C2×Q8 | D188 | semidirect |