Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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×#13094044 | C2 | semidirect |
| 2. #15689690 | C2 | semidirect |
| 3. #15689606 | C2 | semidirect |
| 4. #15689343 | C2 | semidirect |
| 5. #15689336 | C2 | semidirect |
| 6. #15689321 | C2 | semidirect |
| 7. #15689316 | C2 | semidirect |
| 8. #15689151 | C2 | semidirect |
| 9. #15689125 | C2 | semidirect |
| 10. C2×#13093945 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 14. C2×#10625337 | C22 | semidirect |
| 15. C2×#10625335 | C22 | semidirect |
| 16. C2×#10625336 | C22 | semidirect |
| 17. C2×#10625334 | C22 | semidirect |
| 24. Q8×Dic47 | C22 | semidirect |
| 26. D4×Dic47 | C22 | semidirect |
| 31. Dic47⋊C8 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093949 | C22 | semidirect |
| 34. #13093946 | C22 | semidirect |
| 45. #41×C47 | D4 | semidirect |
| 155. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 166. C47 | #3045 | semidirect |
| 202. #41 | C22⋊D47 | semidirect |