Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689673 | C2 | semidirect |
| 2. #15689413 | C2 | semidirect |
| 3. #15689410 | C2 | semidirect |
| 4. #15689374 | C2 | semidirect |
| 5. #15689318 | C2 | semidirect |
| 6. #15689315 | C2 | semidirect |
| 7. #15689147 | C2 | semidirect |
| 8. C47×#532 | C2 | semidirect |
| 122. #532 | D47 | semidirect |
| 129. C47 | #3253 | semidirect |