Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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. C2×#13094055 | C2 | semidirect |
| 3. C4×#10625350 | C2 | semidirect |
| 4. #15689342 | C2 | semidirect |
| 5. #15689335 | C2 | semidirect |
| 6. #15689147 | C2 | semidirect |
| 7. #15689132 | C2 | semidirect |
| 8. #15689128 | C2 | semidirect |
| 9. C2×#124×C47 | C2 | semidirect |
| 13. C2×#10625337 | C22 | semidirect |
| 15. C2×#10625336 | C22 | semidirect |
| 19. C4×Dic94 | C22 | semidirect |
| 20. C4×D188 | C22 | semidirect |
| 25. C4⋊(C47⋊C8) | C22 | semidirect |
| 26. #13093948 | C22 | semidirect |
| 128. C2×#124 | D47 | semidirect |
| 135. C47 | #3040 | semidirect |