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×#13094011 | C2 | semidirect |
| 3. #15689506 | C2 | semidirect |
| 4. #15689476 | C2 | semidirect |
| 5. #15689344 | C2 | semidirect |
| 6. #15689336 | C2 | semidirect |
| 7. #15689281 | C2 | semidirect |
| 8. #15689274 | C2 | semidirect |
| 9. #15689261 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 13. C2×Dic188 | C22 | semidirect |
| 15. C2×#10625335 | 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. #13093949 | C22 | semidirect |
| 34. #13093947 | C22 | semidirect |
| 37. C8×Dic47 | C22 | semidirect |
| 155. C47 | #3211 | semidirect |