Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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×#13094052 | C2 | semidirect |
| 2. C2×M16×D47 | C2 | semidirect |
| 3. #15689635 | C2 | semidirect |
| 4. C2×#13093999 | C2 | semidirect |
| 5. #15689377 | C2 | semidirect |
| 6. #15689370 | C2 | semidirect |
| 7. #15689360 | C2 | semidirect |
| 8. #15689353 | C2 | semidirect |
| 9. #15689127 | C2 | semidirect |
| 10. #15689122 | C2 | semidirect |
| 11. C47×#428 | C2 | semidirect |
| 17. C2×#10625325 | C22 | semidirect |
| 18. C2×D376 | C22 | semidirect |
| 20. C2×#10625324 | C22 | semidirect |
| 22. C2×C8×D47 | C22 | semidirect |
| 24. #13094004 | C22 | semidirect |
| 25. #13094004 | C22 | semidirect |
| 30. #13093999 | C22 | semidirect |
| 31. #13093999 | C22 | semidirect |
| 36. #13093947 | C22 | semidirect |
| 37. #13093944 | C22 | semidirect |
| 38. #13093944 | C22 | semidirect |
| 39. #13093944 | C22 | semidirect |
| 43. #107×C47 | C22 | semidirect |
| 44. #106×C47 | C22 | semidirect |
| 71. M16×C47 | D4 | semidirect |
| 135. C8×C47 | C2×D4 | semidirect |
| 154. C2×D47 | AGL(1,ℤ/8) | semidirect |
| 181. #428 | D47 | semidirect |
| 184. C47 | #3055 | semidirect |
| 212. #107 | C2×D47 | semidirect |
| 213. #106 | C2×D47 | semidirect |
| 248. M16 | D188 | semidirect |
| 309. C8 | C2×D188 | semidirect |