Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689676 | C2 | semidirect |
| 3. #15689484 | C2 | semidirect |
| 4. #15689479 | C2 | semidirect |
| 5. #15689132 | C2 | semidirect |
| 8. M16×Dic47 | C2 | semidirect |
| 9. C47×#419 | C2 | semidirect |
| 12. #13094023 | C22 | semidirect |
| 13. #13094015 | C22 | semidirect |
| 22. #13093948 | C22 | semidirect |
| 25. #13093934 | C22 | semidirect |
| 26. C8×Dic47 | C22 | semidirect |
| 30. #103×C47 | C22 | semidirect |
| 110. #419 | D47 | semidirect |
| 114. C47 | #3140 | semidirect |
| 131. #103 | C2×D47 | semidirect |