Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 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. C2×#13094046 | C2 | semidirect |
| 2. C2×#13094043 | C2 | semidirect |
| 3. #15689791 | C2 | semidirect |
| 4. #15689498 | C2 | semidirect |
| 5. #15689360 | C2 | semidirect |
| 6. #15689322 | C2 | semidirect |
| 7. #15689269 | C2 | semidirect |
| 8. #15689266 | C2 | semidirect |
| 9. #15689217 | C2 | semidirect |
| 10. C8×C22⋊D47 | C2 | semidirect |
| 11. C47×#466 | C2 | semidirect |
| 76. Dic188 | D4 | semidirect |
| 134. Dic47 | #135 | semidirect |
| 148. #466 | D47 | semidirect |
| 154. C47 | #3287 | semidirect |