Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 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. #15689830 | C2 | semidirect |
| 2. #15689473 | C2 | semidirect |
| 3. #15689451 | C2 | semidirect |
| 4. #15689413 | C2 | semidirect |
| 5. #15689379 | C2 | semidirect |
| 6. #15689330 | C2 | semidirect |
| 7. #15689285 | C2 | semidirect |
| 8. C4×#10625335 | C2 | semidirect |
| 9. #15689201 | C2 | semidirect |
| 10. #15689124 | C2 | semidirect |
| 138. C47 | #3331 | semidirect |