Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 123 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. #15689668 | C2 | semidirect |
| 2. C2×#13094020 | C2 | semidirect |
| 3. #15689498 | C2 | semidirect |
| 4. #15689468 | C2 | semidirect |
| 5. #15689317 | C2 | semidirect |
| 6. #15689316 | C2 | semidirect |
| 7. #15689259 | C2 | semidirect |
| 8. #15689257 | C2 | semidirect |
| 9. #15689256 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 11. C47×#447 | C2 | semidirect |
| 16. C2×D376 | C22 | semidirect |
| 17. C2×#10625334 | C22 | semidirect |
| 18. C2×#10625334 | C22 | semidirect |
| 19. #13094023 | C22 | semidirect |
| 24. #13094020 | C22 | semidirect |
| 28. D4×Dic47 | C22 | semidirect |
| 29. #13093986 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093946 | C22 | semidirect |
| 34. #13093945 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 37. C8×Dic47 | C22 | semidirect |
| 39. C2×D8×C47 | C22 | semidirect |
| 41. #102×C47 | C22 | semidirect |
| 117. C2×Dic47 | D8 | semidirect |
| 174. #447 | D47 | semidirect |
| 176. C47 | #3205 | semidirect |
| 185. C2×D8 | C2×D47 | semidirect |
| 204. #102 | C2×D47 | semidirect |