Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 141 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. #15689680 | C2 | semidirect |
| 3. #15689454 | C2 | semidirect |
| 4. #15689414 | C2 | semidirect |
| 5. #15689329 | C2 | semidirect |
| 7. C4×#10625325 | C2 | semidirect |
| 8. C47×#431 | C2 | semidirect |
| 12. #13094024 | C22 | semidirect |
| 13. #13094024 | C22 | semidirect |
| 18. C4×Dic94 | C22 | semidirect |
| 26. #13093956 | C22 | semidirect |
| 27. #13093949 | C22 | semidirect |
| 30. C4⋊C8×C47 | C22 | semidirect |
| 32. C4×C8×C47 | C22 | semidirect |
| 71. C2×C4×C47 | SD16 | semidirect |
| 120. #431 | D47 | semidirect |
| 121. C47 | #3101 | semidirect |
| 141. C4⋊C8 | C2×D47 | semidirect |
| 145. C4×C8 | C2×D47 | semidirect |
| 195. C2×C4 | #10625325 | semidirect |