Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#13094043 | C2 | semidirect |
| 2. C22×Dic188 | C2 | semidirect |
| 3. #15689779 | C2 | semidirect |
| 4. #15689506 | C2 | semidirect |
| 5. #15689365 | C2 | semidirect |
| 6. #15689344 | C2 | semidirect |
| 7. #15689286 | C2 | semidirect |
| 8. #15689261 | C2 | semidirect |
| 9. #15689217 | C2 | semidirect |
| 10. C8×C22⋊D47 | C2 | semidirect |
| 11. C47×#466 | C2 | semidirect |
| 78. Dic188 | D4 | semidirect |
| 116. C22×C47 | #135 | semidirect |
| 142. #466 | D47 | semidirect |
| 148. C47 | #3285 | semidirect |
| 256. C22 | #13094043 | semidirect |