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×#13094044 | C2 | semidirect |
| 2. C22×#10625324 | C2 | semidirect |
| 3. #15689635 | C2 | semidirect |
| 4. #15689630 | C2 | semidirect |
| 5. #15689380 | C2 | semidirect |
| 6. #15689375 | C2 | semidirect |
| 7. #15689372 | C2 | semidirect |
| 8. #15689368 | C2 | semidirect |
| 9. #15689159 | C2 | semidirect |
| 10. #15689120 | C2 | semidirect |
| 11. C47×#416 | C2 | semidirect |
| 15. C2×#10625337 | C22 | semidirect |
| 16. C2×#10625335 | C22 | semidirect |
| 17. C2×#10625336 | C22 | semidirect |
| 18. C2×#10625334 | C22 | semidirect |
| 34. #13093957 | C22 | semidirect |
| 35. #13093955 | C22 | semidirect |
| 36. #13093949 | C22 | semidirect |
| 37. #13093946 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 42. #102×C47 | C22 | semidirect |
| 82. C2×C47⋊C8 | D4 | semidirect |
| 159. #416 | D47 | semidirect |
| 160. C47 | #3054 | semidirect |
| 189. #103 | C2×D47 | semidirect |
| 191. #102 | C2×D47 | semidirect |