Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
454 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689657 | C2 | semidirect |
| 2. C2×C4×D188 | C2 | semidirect |
| 3. #15689459 | C2 | semidirect |
| 4. #15689442 | C2 | semidirect |
| 5. #15689424 | C2 | semidirect |
| 6. #15689339 | C2 | semidirect |
| 7. #15689276 | C2 | semidirect |
| 9. C4×#10625325 | C2 | semidirect |
| 10. C4×D376 | C2 | semidirect |
| 11. C47×#431 | C2 | semidirect |
| 17. #13094016 | C22 | semidirect |
| 18. #13094012 | C22 | semidirect |
| 22. C4×Dic94 | C22 | semidirect |
| 27. C4×D188 | C22 | semidirect |
| 32. #13093958 | C22 | semidirect |
| 33. #13093956 | C22 | semidirect |
| 34. #13093949 | C22 | semidirect |
| 37. #13093946 | C22 | semidirect |
| 39. C4⋊C8×C47 | C22 | semidirect |
| 42. C4×C8×C47 | C22 | semidirect |
| 151. #431 | D47 | semidirect |
| 152. C47 | #3105 | semidirect |
| 176. C4⋊C8 | C2×D47 | semidirect |
| 183. C4×C8 | C2×D47 | semidirect |