Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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. #15689657 | C2 | semidirect |
| 2. #15689423 | C2 | semidirect |
| 3. #15689415 | C2 | semidirect |
| 4. #15689410 | C2 | semidirect |
| 5. #15689357 | C2 | semidirect |
| 6. #15689350 | C2 | semidirect |
| 7. #15689338 | C2 | semidirect |
| 8. #15689320 | C2 | semidirect |
| 9. #15689315 | C2 | semidirect |
| 10. C2×C4⋊(C47⋊C8) | C2 | semidirect |
| 11. C47×#532 | C2 | semidirect |
| 142. #532 | D47 | semidirect |
| 153. C47 | #3247 | semidirect |