Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13094030 | C2 | semidirect |
| 2. #15689697 | C2 | semidirect |
| 4. #15689366 | C2 | semidirect |
| 5. #15689349 | C2 | semidirect |
| 6. #15689161 | C2 | semidirect |
| 7. #15689132 | C2 | semidirect |
| 8. #15689128 | C2 | semidirect |
| 9. C22×SD16×C47 | C2 | semidirect |
| 13. C2×#10625324 | C22 | semidirect |
| 14. C2×C8×D47 | C22 | semidirect |
| 20. #13094000 | C22 | semidirect |
| 25. #13093958 | C22 | semidirect |
| 26. #13093956 | C22 | semidirect |
| 27. #13093948 | C22 | semidirect |
| 55. C2×C8×C47 | D4 | semidirect |
| 121. C22×SD16 | D47 | semidirect |
| 130. C47 | #3057 | semidirect |
| 180. C2×C8 | C22⋊D47 | semidirect |