Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 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. #15689751 | C2 | semidirect |
| 3. #15689433 | C2 | semidirect |
| 4. #15689422 | C2 | semidirect |
| 5. #15689417 | C2 | semidirect |
| 6. #15689402 | C2 | semidirect |
| 7. C2×#13093957 | C2 | semidirect |
| 8. #15689151 | C2 | semidirect |
| 11. C47×#428 | C2 | semidirect |
| 46. #10625350 | Q8 | semidirect |
| 130. #428 | D47 | semidirect |
| 135. C47 | #3083 | semidirect |