Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
354 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689680 | C2 | semidirect |
| 3. #15689431 | C2 | semidirect |
| 4. #15689409 | C2 | semidirect |
| 5. #15689404 | C2 | semidirect |
| 6. #15689364 | C2 | semidirect |
| 8. #15689346 | C2 | semidirect |
| 9. #15689334 | C2 | semidirect |
| 10. #15689329 | C2 | semidirect |
| 11. C2×C4⋊C8×C47 | C2 | semidirect |
| 144. C2×C4⋊C8 | D47 | semidirect |
| 145. C47 | #3248 | semidirect |