Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
410 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 113 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. #15689654 | C2 | semidirect |
| 2. C2×#13094013 | C2 | semidirect |
| 3. #15689504 | C2 | semidirect |
| 4. #15689479 | C2 | semidirect |
| 5. #15689348 | C2 | semidirect |
| 6. #15689340 | C2 | semidirect |
| 7. #15689279 | C2 | semidirect |
| 8. #15689276 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 11. C47×#448 | C2 | semidirect |
| 13. C2×#10625337 | C22 | semidirect |
| 17. #13094015 | C22 | semidirect |
| 22. #13094011 | C22 | semidirect |
| 25. #13093989 | C22 | semidirect |
| 27. D4×Dic47 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093948 | C22 | semidirect |
| 37. C8×Dic47 | C22 | semidirect |
| 39. C2×SD16×C47 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 152. #448 | D47 | semidirect |
| 155. C47 | #3211 | semidirect |
| 160. C2×SD16 | C2×D47 | semidirect |
| 181. #103 | C2×D47 | semidirect |