Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
500 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 149 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. #15689634 | C2 | semidirect |
| 3. #15689381 | C2 | semidirect |
| 4. #15689376 | C2 | semidirect |
| 5. #15689369 | C2 | semidirect |
| 6. #15689161 | C2 | semidirect |
| 7. #15689120 | C2 | semidirect |
| 8. C22×M16×C47 | C2 | semidirect |
| 11. C2×Dic188 | C22 | semidirect |
| 12. C2×#10625325 | C22 | semidirect |
| 13. C2×D376 | C22 | semidirect |
| 20. #13093958 | C22 | semidirect |
| 21. #13093956 | C22 | semidirect |
| 22. #13093949 | C22 | semidirect |
| 23. #13093946 | C22 | semidirect |
| 47. C2×C8×C47 | D4 | semidirect |
| 107. C22×M16 | D47 | semidirect |
| 114. C47 | #3054 | semidirect |
| 156. C2×C8 | C22⋊D47 | semidirect |