Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #15689738 | C2 | semidirect |
| 2. #15689527 | C2 | semidirect |
| 3. #15689506 | C2 | semidirect |
| 4. #15689481 | C2 | semidirect |
| 5. #15689368 | C2 | semidirect |
| 6. #15689365 | C2 | semidirect |
| 8. #15689223 | C2 | semidirect |
| 9. C4×Dic188 | C2 | semidirect |
| 10. #15689077 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 127. C4×D8 | D47 | semidirect |
| 129. C47 | #3175 | semidirect |