Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #15689495 | C2 | semidirect |
| 3. #15689469 | C2 | semidirect |
| 4. #15689320 | C2 | semidirect |
| 5. #15689274 | C2 | semidirect |
| 6. #15689176 | C2 | semidirect |
| 8. C2×#10625335 | C22 | semidirect |
| 9. #13094024 | C22 | semidirect |
| 10. #13094024 | C22 | semidirect |
| 15. C4×Dic94 | C22 | semidirect |
| 17. C4⋊(C47⋊C8) | C22 | semidirect |
| 18. #13093945 | C22 | semidirect |
| 20. C4×C47⋊C8 | C22 | semidirect |
| 71. C2×C4×C47 | SD16 | semidirect |
| 112. C47 | #3208 | semidirect |
| 180. C2×C4 | #10625335 | semidirect |