Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 115 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. #15689845 | C2 | semidirect |
| 4. #15689501 | C2 | semidirect |
| 5. #15689348 | C2 | semidirect |
| 6. #15689345 | C2 | semidirect |
| 7. #15689327 | C2 | semidirect |
| 8. C8×Dic94 | C2 | semidirect |
| 9. #15689217 | C2 | semidirect |
| 11. C4×Q16×C47 | C2 | semidirect |
| 124. C4×Q16 | D47 | semidirect |
| 126. C47 | #3393 | semidirect |