Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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×#13094049 | C2 | semidirect |
| 2. C2×#13094049 | C2 | semidirect |
| 3. #15689890 | C2 | semidirect |
| 4. #15689391 | C2 | semidirect |
| 5. #15689388 | C2 | semidirect |
| 6. #15689171 | C2 | semidirect |
| 7. #15689107 | C2 | semidirect |
| 8. C2×#13093940 | C2 | semidirect |
| 9. C47×#575 | C2 | semidirect |
| 16. C2×#10625336 | C22 | semidirect |
| 18. C2×#10625334 | C22 | semidirect |
| 20. #13094031 | C22 | semidirect |
| 25. #13093959 | C22 | semidirect |
| 26. #13093943 | C22 | semidirect |
| 27. #13093941 | C22 | semidirect |
| 28. #13093940 | C22 | semidirect |
| 32. #137×C47 | C22 | semidirect |
| 34. AGL(1,ℤ/8)×C47 | C22 | semidirect |
| 148. #575 | D47 | semidirect |
| 157. C47 | #3068 | semidirect |
| 162. #137 | C2×D47 | semidirect |
| 168. AGL(1,ℤ/8) | C2×D47 | semidirect |