Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 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×#13094044 | C2 | semidirect |
| 2. C2×#13094032 | C2 | semidirect |
| 3. #15689704 | C2 | semidirect |
| 4. #15689701 | C2 | semidirect |
| 5. #15689380 | C2 | semidirect |
| 6. #15689375 | C2 | semidirect |
| 7. #15689355 | C2 | semidirect |
| 8. #15689351 | C2 | semidirect |
| 9. C2×#13093955 | C2 | semidirect |
| 10. #15689125 | C2 | semidirect |
| 11. C47×#417 | C2 | semidirect |
| 82. C2×C47⋊C8 | D4 | semidirect |
| 163. #417 | D47 | semidirect |
| 164. C47 | #3060 | semidirect |