Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689505 | C2 | semidirect |
| 3. #15689477 | C2 | semidirect |
| 4. #15689342 | C2 | semidirect |
| 5. #15689335 | C2 | semidirect |
| 6. #15689279 | C2 | semidirect |
| 7. #15689274 | C2 | semidirect |
| 8. #15689262 | C2 | semidirect |
| 10. #15689176 | C2 | semidirect |
| 11. C2×#124×C47 | C2 | semidirect |
| 12. C2×#10625337 | C22 | semidirect |
| 14. C2×#10625336 | C22 | semidirect |
| 17. #13094016 | C22 | semidirect |
| 18. #13094012 | C22 | semidirect |
| 22. C4×Dic94 | C22 | semidirect |
| 23. C4×D188 | C22 | semidirect |
| 26. C4⋊(C47⋊C8) | C22 | semidirect |
| 27. #13093948 | C22 | semidirect |
| 28. #13093948 | C22 | semidirect |
| 33. C4×C47⋊C8 | C22 | semidirect |
| 145. C2×#124 | D47 | semidirect |
| 155. C47 | #3211 | semidirect |