Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
364 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 113 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. #135×D47 | C2 | semidirect |
| 2. #15689565 | C2 | semidirect |
| 3. #15689562 | C2 | semidirect |
| 4. #15689560 | C2 | semidirect |
| 5. #15689557 | C2 | semidirect |
| 6. #15689555 | C2 | semidirect |
| 7. #15689553 | C2 | semidirect |
| 8. C2×#13093963 | C2 | semidirect |
| 9. C47×#508 | C2 | semidirect |
| 12. #13094046 | C22 | semidirect |
| 16. Q16×D47 | C22 | semidirect |
| 18. D8×D47 | C22 | semidirect |
| 20. Dic376 | C22 | semidirect |
| 21. #13093970 | C22 | semidirect |
| 22. #13093969 | C22 | semidirect |
| 23. #13093968 | C22 | semidirect |
| 24. #13093967 | C22 | semidirect |
| 25. D752 | C22 | semidirect |
| 26. #13093965 | C22 | semidirect |
| 27. #13093963 | C22 | semidirect |
| 28. #13093963 | C22 | semidirect |
| 29. C2×C47⋊C16 | C22 | semidirect |
| 30. #135×C47 | C22 | semidirect |
| 31. Q32×C47 | C22 | semidirect |
| 32. SD32×C47 | C22 | semidirect |
| 33. D16×C47 | C22 | semidirect |
| 34. C2×C16×C47 | C22 | semidirect |
| 111. #508 | D47 | semidirect |
| 113. C47 | #3414 | semidirect |
| 120. #135 | C2×D47 | semidirect |
| 127. Q32 | C2×D47 | semidirect |
| 131. SD32 | C2×D47 | semidirect |
| 134. D16 | C2×D47 | semidirect |
| 138. C2×C16 | C2×D47 | semidirect |