Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 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. C22×#10625334 | C2 | semidirect |
| 2. C2×#13094031 | C2 | semidirect |
| 3. #15689687 | C2 | semidirect |
| 4. #15689374 | C2 | semidirect |
| 5. #15689357 | C2 | semidirect |
| 6. #15689159 | C2 | semidirect |
| 7. #15689128 | C2 | semidirect |
| 8. #15689127 | C2 | semidirect |
| 9. C47×#535 | C2 | semidirect |
| 16. C2×#10625329 | C22 | semidirect |
| 18. C22×C47⋊C8 | C22 | semidirect |
| 21. #13093998 | C22 | semidirect |
| 24. #13093957 | C22 | semidirect |
| 25. #13093955 | C22 | semidirect |
| 26. #13093945 | C22 | semidirect |
| 27. #13093944 | C22 | semidirect |
| 32. #121×C47 | C22 | semidirect |
| 67. C2×C47⋊C8 | D4 | semidirect |
| 129. #535 | D47 | semidirect |
| 135. C47 | #3058 | semidirect |
| 152. #121 | C2×D47 | semidirect |