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 |
|---|---|---|
| 1. #15689846 | C2 | semidirect |
| 2. #15689833 | C2 | semidirect |
| 3. #15689478 | C2 | semidirect |
| 4. #15689474 | C2 | semidirect |
| 5. #15689431 | C2 | semidirect |
| 6. #15689414 | C2 | semidirect |
| 8. #15689329 | C2 | semidirect |
| 9. C4×#10625325 | C2 | semidirect |
| 11. C8×Q8×C47 | C2 | semidirect |
| 129. C8×Q8 | D47 | semidirect |
| 132. C47 | #3360 | semidirect |