Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 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 |
|---|---|---|
| 3. #15689502 | C2 | semidirect |
| 5. #15689333 | C2 | semidirect |
| 6. #15689330 | C2 | semidirect |
| 8. #15689254 | C2 | semidirect |
| 9. #15689228 | C2 | semidirect |
| 11. C47×#557 | C2 | semidirect |
| 120. #557 | D47 | semidirect |
| 131. C47 | #3398 | semidirect |