Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
364 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 123 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. #15689838 | C2 | semidirect |
| 2. #15689526 | C2 | semidirect |
| 3. #15689447 | C2 | semidirect |
| 4. #15689444 | C2 | semidirect |
| 5. #15689413 | C2 | semidirect |
| 6. #15689410 | C2 | semidirect |
| 7. #15689357 | C2 | semidirect |
| 8. C4×#10625334 | C2 | semidirect |
| 9. D4×C47⋊C8 | C2 | semidirect |
| 10. #15689159 | C2 | semidirect |
| 11. C47×#555 | C2 | semidirect |
| 127. #555 | D47 | semidirect |
| 137. C47 | #3341 | semidirect |