Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689680 | C2 | semidirect |
| 3. #15689532 | C2 | semidirect |
| 4. #15689517 | C2 | semidirect |
| 5. #15689492 | C2 | semidirect |
| 6. #15689483 | C2 | semidirect |
| 7. #15689381 | C2 | semidirect |
| 9. C4×Dic188 | C2 | semidirect |
| 10. C4×#10625325 | C2 | semidirect |
| 11. C4×M16×C47 | C2 | semidirect |
| 140. C4×M16 | D47 | semidirect |
| 141. C47 | #3172 | semidirect |