Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
754 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 169 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×#13094054 | C2 | semidirect |
| 2. C2×#13094003 | C2 | semidirect |
| 3. #15689285 | C2 | semidirect |
| 4. #15689279 | C2 | semidirect |
| 5. #15689274 | C2 | semidirect |
| 6. #15689124 | C2 | semidirect |
| 7. #15689087 | C2 | semidirect |
| 9. C22×Dic94 | C22 | semidirect |
| 11. C2×#10625337 | C22 | semidirect |
| 12. C2×#10625335 | C22 | semidirect |
| 13. C2×#10625329 | C22 | semidirect |
| 17. #13094003 | C22 | semidirect |
| 18. C2×C4⋊Dic47 | C22 | semidirect |
| 21. #13093948 | C22 | semidirect |
| 22. #13093945 | C22 | semidirect |
| 24. C22⋊(C47⋊C8) | C22 | semidirect |
| 130. C22×C47 | #137 | semidirect |
| 155. C47 | #3007 | semidirect |
| 277. C22 | #13094054 | semidirect |