Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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×#13094049 | C2 | semidirect |
| 2. C22×#10625334 | C2 | semidirect |
| 3. #15689597 | C2 | semidirect |
| 4. #15689335 | C2 | semidirect |
| 5. #15689315 | C2 | semidirect |
| 6. #15689150 | C2 | semidirect |
| 7. #15689128 | C2 | semidirect |
| 8. #15689119 | C2 | semidirect |
| 9. C47×#535 | C2 | semidirect |
| 12. C2×#10625336 | C22 | semidirect |
| 15. C2×#10625334 | C22 | semidirect |
| 18. C4×D188 | C22 | semidirect |
| 22. C4⋊(C47⋊C8) | C22 | semidirect |
| 23. #13093948 | C22 | semidirect |
| 24. #13093945 | C22 | semidirect |
| 25. #13093945 | C22 | semidirect |
| 28. #127×C47 | C22 | semidirect |
| 29. #124×C47 | C22 | semidirect |
| 49. C2×D188 | D4 | semidirect |
| 124. #535 | D47 | semidirect |
| 131. C47 | #3041 | semidirect |
| 142. #127 | C2×D47 | semidirect |
| 143. #124 | C2×D47 | semidirect |