Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689735 | C2 | semidirect |
| 2. #15689522 | C2 | semidirect |
| 3. #15689495 | C2 | semidirect |
| 4. #15689493 | C2 | semidirect |
| 5. #15689487 | C2 | semidirect |
| 6. #15689367 | C2 | semidirect |
| 7. #15689350 | C2 | semidirect |
| 8. #15689223 | C2 | semidirect |
| 9. C4×#10625335 | C2 | semidirect |
| 10. #15689079 | C2 | semidirect |
| 120. C47 | #3174 | semidirect |