Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
406 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 117 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. #15689843 | C2 | semidirect |
| 2. #15689794 | C2 | semidirect |
| 3. #15689511 | C2 | semidirect |
| 4. #15689496 | C2 | semidirect |
| 5. #15689337 | C2 | semidirect |
| 6. #15689328 | C2 | semidirect |
| 7. #15689322 | C2 | semidirect |
| 8. #15689318 | C2 | semidirect |
| 9. #15689253 | C2 | semidirect |
| 10. #15689222 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 105. C8×C47 | #41 | semidirect |
| 143. C4×D8 | D47 | semidirect |
| 144. C47 | #3397 | semidirect |
| 239. C8 | #10625350 | semidirect |