Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13094057 | C2 | semidirect |
| 3. C2×#13094011 | C2 | semidirect |
| 4. #15689591 | C2 | semidirect |
| 5. #15689344 | C2 | semidirect |
| 6. #15689337 | C2 | semidirect |
| 7. #15689146 | C2 | semidirect |
| 8. #15689131 | C2 | semidirect |
| 9. C47×#418 | C2 | semidirect |
| 14. C2×Dic188 | C22 | semidirect |
| 15. C2×#10625325 | C22 | semidirect |
| 22. #13093989 | C22 | semidirect |
| 23. #13093986 | C22 | semidirect |
| 29. Dic47⋊C8 | C22 | semidirect |
| 30. #13093947 | C22 | semidirect |
| 134. #418 | D47 | semidirect |
| 135. C47 | #3040 | semidirect |