Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
352 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 133 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. #15689833 | C2 | semidirect |
| 2. #15689526 | C2 | semidirect |
| 3. #15689522 | C2 | semidirect |
| 4. #15689423 | C2 | semidirect |
| 5. #15689420 | C2 | semidirect |
| 6. #15689413 | C2 | semidirect |
| 7. #15689410 | C2 | semidirect |
| 8. Q8×C47⋊C8 | C2 | semidirect |
| 11. C47×#554 | C2 | semidirect |
| 61. #10625334 | Q8 | semidirect |
| 121. #554 | D47 | semidirect |
| 131. C47 | #3380 | semidirect |