Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
448 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
| 2. #15689453 | C2 | semidirect |
| 3. #15689413 | C2 | semidirect |
| 4. #15689328 | C2 | semidirect |
| 6. C4×#10625335 | C2 | semidirect |
| 7. #15689176 | C2 | semidirect |
| 10. #13094024 | C22 | semidirect |
| 11. #13094024 | C22 | semidirect |
| 16. C4×Dic94 | C22 | semidirect |
| 18. #13093955 | C22 | semidirect |
| 19. C4⋊(C47⋊C8) | C22 | semidirect |
| 20. #13093947 | C22 | semidirect |
| 23. C4×C47⋊C8 | C22 | semidirect |
| 78. C2×C4×C47 | SD16 | semidirect |
| 121. C47 | #3101 | semidirect |
| 195. C2×C4 | #10625335 | semidirect |