Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
546 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 546 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×#13094048 | C2 | semidirect |
| 2. #15689777 | C2 | semidirect |
| 3. D4×D188 | C2 | semidirect |
| 4. #15689496 | C2 | semidirect |
| 5. #15689370 | C2 | semidirect |
| 6. #15689328 | C2 | semidirect |
| 7. #15689318 | C2 | semidirect |
| 8. #15689275 | C2 | semidirect |
| 9. #15689269 | C2 | semidirect |
| 10. #15689202 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 12. C2×#10625352 | C22 | semidirect |
| 16. C2×#10625325 | C22 | semidirect |
| 17. C2×#10625325 | C22 | semidirect |
| 19. C2×#10625334 | C22 | semidirect |
| 20. C2×#10625324 | C22 | semidirect |
| 21. #13094024 | C22 | semidirect |
| 24. #13094004 | C22 | semidirect |
| 31. C4⋊(C47⋊C8) | C22 | semidirect |
| 32. #13093947 | C22 | semidirect |
| 33. #13093944 | C22 | semidirect |
| 34. (C2×D47)⋊C8 | C22 | semidirect |
| 37. C4×D4×C47 | C22 | semidirect |
| 38. #107×C47 | C22 | semidirect |
| 40. #102×C47 | C22 | semidirect |
| 41. C4×C8×C47 | C22 | semidirect |
| 62. D8×C47 | D4 | semidirect |
| 93. D4×C47 | C2×D4 | semidirect |
| 117. C8×C47 | C2×D4 | semidirect |
| 136. C4×C47 | AGL(1,ℤ/8) | semidirect |
| 158. C4×D8 | D47 | semidirect |
| 160. C47 | #3272 | semidirect |
| 181. C4×D4 | C2×D47 | semidirect |
| 183. #107 | C2×D47 | semidirect |
| 188. #102 | C2×D47 | semidirect |
| 190. C4×C8 | C2×D47 | semidirect |
| 215. D8 | D188 | semidirect |
| 252. D4 | C2×D188 | semidirect |
| 267. C8 | C2×D188 | semidirect |
| 287. C4 | #13094048 | semidirect |