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×#13094050 | C2 | semidirect |
| 2. #15689690 | C2 | semidirect |
| 3. #15689598 | C2 | semidirect |
| 4. #15689336 | C2 | semidirect |
| 5. #15689316 | C2 | semidirect |
| 6. #15689149 | C2 | semidirect |
| 7. #15689128 | C2 | semidirect |
| 8. #15689120 | C2 | semidirect |
| 9. C22×D8×C47 | C2 | semidirect |
| 12. C2×#10625335 | C22 | semidirect |
| 13. C2×#10625334 | C22 | semidirect |
| 15. #13094020 | C22 | semidirect |
| 16. #13094011 | C22 | semidirect |
| 20. D4×Dic47 | C22 | semidirect |
| 24. Dic47⋊C8 | C22 | semidirect |
| 25. #13093949 | C22 | semidirect |
| 26. #13093946 | C22 | semidirect |
| 27. #13093945 | C22 | semidirect |
| 40. C2×D4×C47 | D4 | semidirect |
| 123. C22×D8 | D47 | semidirect |
| 131. C47 | #3041 | semidirect |
| 168. C2×D4 | C22⋊D47 | semidirect |