Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
526 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 526 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. C2×#13094046 | C2 | semidirect |
| 2. C2×D8×D47 | C2 | semidirect |
| 3. #15689770 | C2 | semidirect |
| 4. #15689506 | C2 | semidirect |
| 5. #15689365 | C2 | semidirect |
| 6. #15689337 | C2 | semidirect |
| 7. #15689275 | C2 | semidirect |
| 8. #15689266 | C2 | semidirect |
| 9. #15689205 | C2 | semidirect |
| 10. C8×C22⋊D47 | C2 | semidirect |
| 11. C47×#466 | C2 | semidirect |
| 12. C2×#10625350 | C22 | semidirect |
| 15. C2×Dic188 | C22 | semidirect |
| 16. C2×#10625325 | C22 | semidirect |
| 17. C2×#10625335 | C22 | semidirect |
| 22. #13094011 | C22 | semidirect |
| 27. #13093986 | C22 | semidirect |
| 30. Dic47⋊C8 | C22 | semidirect |
| 31. #13093947 | C22 | semidirect |
| 32. #13093944 | C22 | semidirect |
| 33. C22⋊(C47⋊C8) | C22 | semidirect |
| 35. C8×Dic47 | C22 | semidirect |
| 37. C22×C8×C47 | C22 | semidirect |
| 38. #121×C47 | C22 | semidirect |
| 39. #107×C47 | C22 | semidirect |
| 40. #102×C47 | C22 | semidirect |
| 77. D376 | D4 | semidirect |
| 127. C2×D47 | #135 | semidirect |
| 149. #466 | D47 | semidirect |
| 155. C47 | #3280 | semidirect |
| 167. C22×C8 | C2×D47 | semidirect |
| 172. #121 | C2×D47 | semidirect |
| 177. #107 | C2×D47 | semidirect |
| 181. #102 | C2×D47 | semidirect |