Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 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×D8×D47 | C2 | semidirect |
| 2. C2×#13094030 | C2 | semidirect |
| 3. #15689689 | C2 | semidirect |
| 4. #15689375 | C2 | semidirect |
| 5. #15689374 | C2 | semidirect |
| 6. #15689360 | C2 | semidirect |
| 7. #15689359 | C2 | semidirect |
| 8. #15689356 | C2 | semidirect |
| 9. #15689160 | C2 | semidirect |
| 10. #15689126 | C2 | semidirect |
| 11. C47×#466 | C2 | semidirect |
| 18. C2×#10625329 | C22 | semidirect |
| 20. C2×#10625324 | C22 | semidirect |
| 22. C2×C8×D47 | C22 | semidirect |
| 25. #13093999 | C22 | semidirect |
| 26. #13093998 | C22 | semidirect |
| 27. #13093995 | C22 | semidirect |
| 31. #13093958 | C22 | semidirect |
| 32. #13093955 | C22 | semidirect |
| 33. #13093946 | C22 | semidirect |
| 34. #13093945 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 37. C22×C8×C47 | C22 | semidirect |
| 38. #121×C47 | C22 | semidirect |
| 39. #107×C47 | C22 | semidirect |
| 40. #102×C47 | C22 | semidirect |
| 80. C8×D47 | D4 | semidirect |
| 159. #466 | D47 | semidirect |
| 162. C47 | #3058 | semidirect |
| 175. C22×C8 | C2×D47 | semidirect |
| 181. #121 | C2×D47 | semidirect |
| 186. #107 | C2×D47 | semidirect |
| 191. #102 | C2×D47 | semidirect |