Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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×#13094054 | C2 | semidirect |
| 2. C2×#13094050 | C2 | semidirect |
| 3. C2×#13094044 | C2 | semidirect |
| 4. C22×#10625335 | C2 | semidirect |
| 5. #15689699 | C2 | semidirect |
| 6. #15689518 | C2 | semidirect |
| 7. #15689510 | C2 | semidirect |
| 8. #15689505 | C2 | semidirect |
| 9. #15689495 | C2 | semidirect |
| 10. #15689079 | C2 | semidirect |
| 11. C47×#535 | C2 | semidirect |
| 17. C2×#10625337 | C22 | semidirect |
| 18. C2×#10625337 | C22 | semidirect |
| 23. C2×#10625335 | C22 | semidirect |
| 24. C2×#10625335 | C22 | semidirect |
| 25. C2×#10625336 | C22 | semidirect |
| 27. C2×#10625334 | C22 | semidirect |
| 30. #13094024 | C22 | semidirect |
| 31. #13094012 | C22 | semidirect |
| 34. #13093935 | C22 | semidirect |
| 35. C4×C47⋊C8 | C22 | semidirect |
| 83. #10625329 | D4 | semidirect |
| 84. C2×C47⋊C8 | D4 | semidirect |
| 154. #535 | D47 | semidirect |
| 160. C47 | #3154 | semidirect |