Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 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. #15689836 | C2 | semidirect |
| 2. #15689527 | C2 | semidirect |
| 3. #15689449 | C2 | semidirect |
| 4. #15689447 | C2 | semidirect |
| 5. #15689412 | C2 | semidirect |
| 6. #15689360 | C2 | semidirect |
| 7. #15689359 | C2 | semidirect |
| 8. #15689205 | C2 | semidirect |
| 9. C8×C22⋊D47 | C2 | semidirect |
| 10. #15689160 | C2 | semidirect |
| 11. C47×#427 | C2 | semidirect |
| 131. #427 | D47 | semidirect |
| 132. C47 | #3341 | semidirect |