Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
444 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 123 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. #15689675 | C2 | semidirect |
| 3. #15689459 | C2 | semidirect |
| 4. #15689456 | C2 | semidirect |
| 5. #15689401 | C2 | semidirect |
| 6. #15689326 | C2 | semidirect |
| 8. #15689224 | C2 | semidirect |
| 9. #15689220 | C2 | semidirect |
| 10. #15689177 | C2 | semidirect |
| 14. #13094023 | C22 | semidirect |
| 15. #13094022 | C22 | semidirect |
| 19. Q8×Dic47 | C22 | semidirect |
| 21. #13093989 | C22 | semidirect |
| 30. #13093958 | C22 | semidirect |
| 31. #13093957 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093949 | C22 | semidirect |
| 34. #13093948 | C22 | semidirect |
| 37. #13093934 | C22 | semidirect |
| 148. C47 | #3110 | semidirect |