Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
360 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689657 | C2 | semidirect |
| 2. #15689431 | C2 | semidirect |
| 3. #15689424 | C2 | semidirect |
| 4. #15689364 | C2 | semidirect |
| 6. #15689352 | C2 | semidirect |
| 7. #15689346 | C2 | semidirect |
| 8. #15689339 | C2 | semidirect |
| 9. C2×C4⋊C8×C47 | C2 | semidirect |
| 115. C2×C4⋊C8 | D47 | semidirect |
| 116. C47 | #3250 | semidirect |