Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
526 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13094043 | C2 | semidirect |
| 2. #15689767 | C2 | semidirect |
| 3. #15689506 | C2 | semidirect |
| 4. #15689364 | C2 | semidirect |
| 5. #15689356 | C2 | semidirect |
| 6. #15689336 | C2 | semidirect |
| 7. #15689274 | C2 | semidirect |
| 8. #15689265 | C2 | semidirect |
| 9. D8×Dic47 | C2 | semidirect |
| 10. C8×C22⋊D47 | C2 | semidirect |
| 11. C22×D8×C47 | C2 | semidirect |
| 12. C2×#10625352 | C22 | semidirect |
| 14. C2×Dic188 | C22 | semidirect |
| 15. C2×#10625335 | C22 | semidirect |
| 16. C2×#10625335 | C22 | semidirect |
| 17. C2×C8×D47 | C22 | semidirect |
| 18. #13094011 | C22 | semidirect |
| 22. #13093995 | C22 | semidirect |
| 24. D4×Dic47 | C22 | semidirect |
| 27. #13093958 | C22 | semidirect |
| 28. Dic47⋊C8 | C22 | semidirect |
| 29. #13093949 | C22 | semidirect |
| 30. #13093945 | C22 | semidirect |
| 31. #13093945 | C22 | semidirect |
| 33. (C2×D47)⋊C8 | C22 | semidirect |
| 34. C8×Dic47 | C22 | semidirect |
| 59. D8×C47 | D4 | semidirect |
| 123. C22×C47 | #135 | semidirect |
| 145. C22×D8 | D47 | semidirect |
| 155. C47 | #3280 | semidirect |
| 206. D8 | C22⋊D47 | semidirect |
| 270. C22 | #13094043 | semidirect |