Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
400 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689673 | C2 | semidirect |
| 2. #15689505 | C2 | semidirect |
| 3. #15689480 | C2 | semidirect |
| 4. #15689333 | C2 | semidirect |
| 5. #15689328 | C2 | semidirect |
| 6. #15689323 | C2 | semidirect |
| 7. #15689318 | C2 | semidirect |
| 8. #15689283 | C2 | semidirect |
| 9. #15689266 | C2 | semidirect |
| 10. #15689176 | C2 | semidirect |
| 11. C47×#529 | C2 | semidirect |
| 146. #529 | D47 | semidirect |
| 156. C47 | #3212 | semidirect |