Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 2. #15689493 | C2 | semidirect |
| 3. #15689485 | C2 | semidirect |
| 4. #15689480 | C2 | semidirect |
| 5. #15689475 | C2 | semidirect |
| 6. #15689131 | C2 | semidirect |
| 9. C2×#13093947 | C2 | semidirect |
| 10. #15689079 | C2 | semidirect |
| 11. C47×#544 | C2 | semidirect |
| 128. #544 | D47 | semidirect |
| 139. C47 | #3137 | semidirect |