Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13094072 | C2 | semidirect |
| 2. C2×#13094052 | C2 | semidirect |
| 3. C22×#10625336 | C2 | semidirect |
| 4. #15689692 | C2 | semidirect |
| 5. #15689271 | C2 | semidirect |
| 6. #15689263 | C2 | semidirect |
| 7. #15689117 | C2 | semidirect |
| 8. #15689091 | C2 | semidirect |
| 9. C47×#419 | C2 | semidirect |
| 13. C2×#10625354 | C22 | semidirect |
| 18. C2×Q8×D47 | C22 | semidirect |
| 30. #13093947 | C22 | semidirect |
| 31. #13093944 | C22 | semidirect |
| 32. (C2×D47)⋊C8 | C22 | semidirect |
| 36. #103×C47 | C22 | semidirect |
| 40. C2×Q8×C47 | D4 | semidirect |
| 56. #10625350 | D4 | semidirect |
| 152. #419 | D47 | semidirect |
| 155. C47 | #3010 | semidirect |
| 180. #103 | C2×D47 | semidirect |
| 200. C2×Q8 | D188 | semidirect |