Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#10625324 | C2 | semidirect |
| 3. #15689635 | C2 | semidirect |
| 4. #15689382 | C2 | semidirect |
| 5. #15689377 | C2 | semidirect |
| 6. #15689370 | C2 | semidirect |
| 7. #15689117 | C2 | semidirect |
| 8. C47×#427 | C2 | semidirect |
| 12. C2×Dic188 | C22 | semidirect |
| 13. C2×#10625325 | C22 | semidirect |
| 14. C2×D376 | C22 | semidirect |
| 24. #13093947 | C22 | semidirect |
| 25. #13093944 | C22 | semidirect |
| 28. #107×C47 | C22 | semidirect |
| 29. #106×C47 | C22 | semidirect |
| 44. C2×C8×C47 | D4 | semidirect |
| 112. #427 | D47 | semidirect |
| 114. C47 | #3054 | semidirect |
| 132. #107 | C2×D47 | semidirect |
| 133. #106 | C2×D47 | semidirect |
| 157. C2×C8 | D188 | semidirect |