Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. #15689461 | C2 | semidirect |
| 3. #15689415 | C2 | semidirect |
| 4. #15689410 | C2 | semidirect |
| 5. #15689330 | C2 | semidirect |
| 6. #15689325 | C2 | semidirect |
| 8. #15689228 | C2 | semidirect |
| 9. #15689221 | C2 | semidirect |
| 10. #15689180 | C2 | semidirect |
| 11. C47×#533 | C2 | semidirect |
| 137. #533 | D47 | semidirect |
| 148. C47 | #3116 | semidirect |