Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
994 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 994 conjugacy classes of subgroups — too many to draw. Only its 153 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. C22×D4×D47 | C2 | semidirect |
| 2. C2×#13094052 | C2 | semidirect |
| 3. C2×#13094050 | C2 | semidirect |
| 4. #15689635 | C2 | semidirect |
| 5. #15689275 | C2 | semidirect |
| 6. #15689258 | C2 | semidirect |
| 7. #15689127 | C2 | semidirect |
| 8. #15689086 | C2 | semidirect |
| 9. C47×#418 | C2 | semidirect |
| 11. C2×#10625350 | C22 | semidirect |
| 21. C2×#10625325 | C22 | semidirect |
| 22. C2×#10625335 | C22 | semidirect |
| 23. C2×D376 | C22 | semidirect |
| 24. C2×#10625334 | C22 | semidirect |
| 25. C2×#10625329 | C22 | semidirect |
| 27. #13094004 | C22 | semidirect |
| 28. #13093999 | C22 | semidirect |
| 31. #13093944 | C22 | semidirect |
| 32. (C2×D47)⋊C8 | C22 | semidirect |
| 34. C2×M16×C47 | C22 | semidirect |
| 35. #117×C47 | C22 | semidirect |
| 36. #102×C47 | C22 | semidirect |
| 45. C2×D4×C47 | D4 | semidirect |
| 60. C2×D188 | D4 | semidirect |
| 62. C2×D188 | C23 | semidirect |
| 68. C2×Dic94 | C23 | semidirect |
| 70. C2×C8×C47 | C23 | semidirect |
| 71. C4⋊C4×C47 | C23 | semidirect |
| 80. C2×C47⋊C8 | C23 | semidirect |
| 140. C2×D47 | AGL(1,ℤ/8) | semidirect |
| 162. #418 | D47 | semidirect |
| 164. C47 | #3003 | semidirect |
| 182. C2×M16 | C2×D47 | semidirect |
| 188. #117 | C2×D47 | semidirect |
| 190. #102 | C2×D47 | semidirect |
| 215. C2×D4 | D188 | semidirect |
| 231. C2×C8 | C22×D47 | semidirect |
| 233. C4⋊C4 | C22×D47 | semidirect |