Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
400 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 133 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. #15689482 | C2 | semidirect |
| 3. #15689477 | C2 | semidirect |
| 4. #15689132 | C2 | semidirect |
| 6. C4×#10625329 | C2 | semidirect |
| 9. #13094024 | C22 | semidirect |
| 10. #13094016 | C22 | semidirect |
| 14. #13093948 | C22 | semidirect |
| 16. #13093935 | C22 | semidirect |
| 17. C4×C47⋊C8 | C22 | semidirect |
| 91. C47 | #3140 | semidirect |