Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #15688950 | C2 | semidirect |
| 5. #15688949 | C2 | semidirect |
| 6. #15688948 | C2 | semidirect |
| 7. C47×#367 | C2 | semidirect |
| 11. #13093963 | C4 | semidirect |
| 33. C16×C47 | C2×C4 | semidirect |
| 34. C47⋊C16 | C2×C4 | semidirect |
| 68. #367 | D47 | semidirect |
| 71. C47 | #2159 | semidirect |
| 98. C16 | C4×D47 | semidirect |