Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13094050 | C2 | semidirect |
| 2. C2×#13094044 | C2 | semidirect |
| 3. #15689603 | C2 | semidirect |
| 4. #15689342 | C2 | semidirect |
| 5. #15689335 | C2 | semidirect |
| 6. #15689320 | C2 | semidirect |
| 7. #15689315 | C2 | semidirect |
| 8. #15689150 | C2 | semidirect |
| 9. #15689124 | C2 | semidirect |
| 10. C2×#13093945 | C2 | semidirect |
| 11. C47×#535 | C2 | semidirect |
| 15. C2×#10625337 | C22 | semidirect |
| 17. C2×#10625335 | C22 | semidirect |
| 18. C2×#10625336 | C22 | semidirect |
| 20. C2×#10625334 | C22 | semidirect |
| 23. C4×Dic94 | C22 | semidirect |
| 24. C4×D188 | C22 | semidirect |
| 29. C4⋊(C47⋊C8) | C22 | semidirect |
| 30. C4⋊(C47⋊C8) | C22 | semidirect |
| 31. #13093948 | C22 | semidirect |
| 34. #13093945 | C22 | semidirect |
| 60. #10625350 | D4 | semidirect |
| 157. #535 | D47 | semidirect |
| 166. C47 | #3045 | semidirect |