Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
450 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 117 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. #15689659 | C2 | semidirect |
| 2. C2×#13093986 | C2 | semidirect |
| 3. #15689436 | C2 | semidirect |
| 4. #15689422 | C2 | semidirect |
| 5. #15689341 | C2 | semidirect |
| 6. #15689273 | C2 | semidirect |
| 8. #15689234 | C2 | semidirect |
| 9. #15689226 | C2 | semidirect |
| 10. #15689177 | C2 | semidirect |
| 11. C47×#483 | C2 | semidirect |
| 17. #13094015 | C22 | semidirect |
| 18. #13094013 | C22 | semidirect |
| 21. Q8×Dic47 | C22 | semidirect |
| 26. #13093986 | C22 | semidirect |
| 31. #13093957 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 37. #13093934 | C22 | semidirect |
| 40. #106×C47 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 143. #483 | D47 | semidirect |
| 152. C47 | #3114 | semidirect |
| 175. #106 | C2×D47 | semidirect |
| 177. #103 | C2×D47 | semidirect |