Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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. C2×#13094054 | C2 | semidirect |
| 2. C2×#13094030 | C2 | semidirect |
| 4. #15689699 | C2 | semidirect |
| 5. #15689380 | C2 | semidirect |
| 6. #15689368 | C2 | semidirect |
| 7. #15689363 | C2 | semidirect |
| 8. #15689351 | C2 | semidirect |
| 9. #15689166 | C2 | semidirect |
| 10. C2×#13093949 | C2 | semidirect |
| 11. C47×#416 | C2 | semidirect |
| 81. #10625329 | D4 | semidirect |
| 153. #416 | D47 | semidirect |
| 155. C47 | #3063 | semidirect |