Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
584 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#10625325 | C2 | semidirect |
| 2. C22×#10625335 | C2 | semidirect |
| 4. C2×#13093989 | C2 | semidirect |
| 5. #15689322 | C2 | direct (N × H) |
| 6. C2×Dic47⋊C8 | C2 | semidirect |
| 7. C2×#13093944 | C2 | semidirect |
| 8. C2×#102×C47 | C2 | semidirect |
| 14. C2×#10625325 | C22 | semidirect |
| 16. C2×#10625335 | C22 | semidirect |
| 21. #13093989 | C22 | semidirect |
| 25. Dic47⋊C8 | C22 | semidirect |
| 26. #13093944 | C22 | semidirect |
| 30. #102×C47 | C22 | semidirect |
| 52. C2×Dic94 | D4 | semidirect |
| 89. C2×Dic47 | SD16 | semidirect |
| 97. Dic94 | C2×D4 | semidirect |
| 118. Dic47 | C2×SD16 | semidirect |
| 121. C2×C47 | #460 | semidirect |
| 133. C2×#102 | D47 | semidirect |
| 134. C47 | C2×#460 | semidirect |
| 156. #102 | C2×D47 | semidirect |
| 247. C2 | #15689322 | direct (N × H) |