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. #15689659 | C2 | semidirect |
| 2. C2×#13094013 | C2 | semidirect |
| 3. #15689508 | C2 | semidirect |
| 4. #15689479 | C2 | semidirect |
| 5. #15689347 | C2 | semidirect |
| 6. #15689341 | C2 | semidirect |
| 7. #15689273 | C2 | semidirect |
| 8. #15689262 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 11. C47×#451 | C2 | semidirect |
| 14. C2×#10625336 | C22 | semidirect |
| 17. #13094015 | C22 | semidirect |
| 22. #13094013 | C22 | semidirect |
| 25. Q8×Dic47 | C22 | semidirect |
| 26. #13093986 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093948 | C22 | semidirect |
| 37. C8×Dic47 | C22 | semidirect |
| 39. C2×Q16×C47 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 150. #451 | D47 | semidirect |
| 155. C47 | #3211 | semidirect |
| 158. C2×Q16 | C2×D47 | semidirect |
| 181. #103 | C2×D47 | semidirect |