Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
520 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689768 | C2 | semidirect |
| 3. #15689507 | C2 | semidirect |
| 4. #15689370 | C2 | semidirect |
| 5. #15689338 | C2 | semidirect |
| 6. #15689286 | C2 | semidirect |
| 7. #15689258 | C2 | semidirect |
| 8. #15689202 | C2 | semidirect |
| 9. C4×D8×C47 | C2 | semidirect |
| 11. C2×D4×D47 | C22 | semidirect |
| 13. C2×Dic188 | C22 | semidirect |
| 14. C2×#10625325 | C22 | semidirect |
| 15. C2×#10625335 | C22 | semidirect |
| 18. C2×#10625324 | C22 | semidirect |
| 19. #13094012 | C22 | semidirect |
| 21. #13094004 | C22 | semidirect |
| 27. C4⋊(C47⋊C8) | C22 | semidirect |
| 28. #13093947 | C22 | semidirect |
| 29. #13093944 | C22 | semidirect |
| 30. (C2×D47)⋊C8 | C22 | semidirect |
| 32. C4×D4×C47 | C22 | semidirect |
| 33. #107×C47 | C22 | semidirect |
| 34. #102×C47 | C22 | semidirect |
| 35. C4×C8×C47 | C22 | semidirect |
| 51. D8×C47 | D4 | semidirect |
| 132. C4×D8 | D47 | semidirect |
| 134. C47 | #3273 | semidirect |
| 152. C4×D4 | C2×D47 | semidirect |
| 154. #107 | C2×D47 | semidirect |
| 158. #102 | C2×D47 | semidirect |
| 160. C4×C8 | C2×D47 | semidirect |
| 181. D8 | D188 | semidirect |