Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
738 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 249 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 |
|---|---|---|
| 2. #15689890 | C2 | semidirect |
| 3. #15689141 | C2 | semidirect |
| 4. C2×#13093952 | C2 | semidirect |
| 5. C4×#41×C47 | C2 | semidirect |
| 7. #13094071 | C4 | semidirect |
| 8. #13094070 | C4 | semidirect |
| 13. C2×#10625329 | C22 | semidirect |
| 14. #13093952 | C22 | semidirect |
| 15. #13093952 | C22 | semidirect |
| 19. #117×C47 | C22 | semidirect |
| 20. C2×C42×C47 | C22 | semidirect |
| 34. #10625350 | C2×C4 | semidirect |
| 36. C2×D188 | C2×C4 | semidirect |
| 38. C2×Dic94 | C2×C4 | semidirect |
| 86. C4×#41 | D47 | semidirect |
| 89. C47 | #2901 | semidirect |
| 101. #117 | C2×D47 | semidirect |
| 102. C2×C42 | C2×D47 | semidirect |