Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
366 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 366 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. #15689823 | C2 | semidirect |
| 2. #15689525 | C2 | semidirect |
| 3. #15689446 | C2 | semidirect |
| 4. #15689440 | C2 | semidirect |
| 5. #15689423 | C2 | semidirect |
| 6. #15689356 | C2 | semidirect |
| 7. #15689356 | C2 | semidirect |
| 8. C8×D188 | C2 | semidirect |
| 9. #15689160 | C2 | semidirect |
| 10. #107×D47 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 128. C4×D8 | D47 | semidirect |
| 132. C47 | #3339 | semidirect |