Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
354 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 123 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. #15689526 | C2 | semidirect |
| 3. #15689464 | C2 | semidirect |
| 4. #15689434 | C2 | semidirect |
| 5. #15689415 | C2 | semidirect |
| 6. #15689413 | C2 | semidirect |
| 7. #15689367 | C2 | semidirect |
| 8. C4×#10625335 | C2 | semidirect |
| 9. #15689201 | C2 | semidirect |
| 10. #15689166 | C2 | semidirect |
| 133. C47 | #3357 | semidirect |