Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 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×#13094071 | C2 | semidirect |
| 2. C22×#10625335 | C2 | semidirect |
| 3. #15689690 | C2 | semidirect |
| 4. #15689265 | C2 | semidirect |
| 5. #15689260 | C2 | semidirect |
| 6. #15689133 | C2 | semidirect |
| 7. #15689119 | C2 | semidirect |
| 8. #15689091 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 15. C2×#10625352 | C22 | semidirect |
| 18. C2×Q8×D47 | C22 | semidirect |
| 27. #13093949 | C22 | semidirect |
| 28. #13093948 | C22 | semidirect |
| 29. #13093945 | C22 | semidirect |
| 30. (C2×D47)⋊C8 | C22 | semidirect |
| 39. #41×C47 | D4 | semidirect |
| 70. C2×Dic94 | D4 | semidirect |
| 147. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 155. C47 | #3010 | semidirect |
| 191. #41 | C22⋊D47 | semidirect |