Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 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. #15689937 | C2 | semidirect |
| 2. #15689936 | C2 | semidirect |
| 3. #15689566 | C2 | semidirect |
| 4. #15689565 | C2 | semidirect |
| 5. #15689562 | C2 | semidirect |
| 6. #15689554 | C2 | semidirect |
| 7. #15689553 | C2 | semidirect |
| 8. C2×#13093970 | C2 | semidirect |
| 9. Q32×D47 | C2 | semidirect |
| 10. #15689541 | C2 | semidirect |
| 11. C47×#510 | C2 | semidirect |
| 129. #510 | D47 | semidirect |
| 135. C47 | #3417 | semidirect |