Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 492 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. C22×#10625325 | C2 | semidirect |
| 2. #15689694 | C2 | semidirect |
| 4. #15689369 | C2 | semidirect |
| 5. #15689352 | C2 | semidirect |
| 6. #15689161 | C2 | semidirect |
| 7. #15689133 | C2 | semidirect |
| 8. #15689129 | C2 | semidirect |
| 9. C2×#131×C47 | C2 | semidirect |
| 20. #13094003 | C22 | semidirect |
| 25. #13093958 | C22 | semidirect |
| 26. #13093956 | C22 | semidirect |
| 27. #13093949 | C22 | semidirect |
| 32. C2×M16×C47 | C22 | semidirect |
| 34. C22×C8×C47 | C22 | semidirect |
| 56. C2×C8×C47 | D4 | semidirect |
| 122. C2×#131 | D47 | semidirect |
| 130. C47 | #3057 | semidirect |
| 139. C2×M16 | C2×D47 | semidirect |
| 141. C22×C8 | C2×D47 | semidirect |
| 179. C2×C8 | C22⋊D47 | semidirect |