Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
1504 conjugacy classes of subgroups; only the 565 normal subgroups are shown.
This group has 1504 conjugacy classes of subgroups — too many to draw. Only its 565 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. C22×#10625350 | C2 | semidirect |
| 2. C2×#13094046 | C2 | direct (N × H) |
| 3. C22×Dic188 | C2 | semidirect |
| 4. C22×#10625325 | C2 | semidirect |
| 5. C22×D376 | C2 | semidirect |
| 6. C23×C8×C47 | C2 | semidirect |
| 8. C2×#10625350 | C22 | semidirect |
| 13. #13094046 | C22 | direct (N × H) |
| 14. C2×Dic188 | C22 | semidirect |
| 15. C2×#10625325 | C22 | semidirect |
| 16. C2×D376 | C22 | semidirect |
| 20. C22×C8×C47 | C22 | semidirect |
| 30. #10625350 | C23 | semidirect |
| 38. C2×C8×C47 | C23 | semidirect |
| 39. Dic188 | C23 | semidirect |
| 40. D376 | C23 | semidirect |
| 41. #10625325 | C23 | semidirect |
| 62. C22×C47 | #135 | semidirect |
| 73. C2×C47 | C2×#135 | semidirect |
| 81. C23×C8 | D47 | semidirect |
| 82. C47 | C22×#135 | semidirect |
| 96. C22×C8 | C2×D47 | semidirect |
| 117. C2×C8 | C22×D47 | semidirect |
| 140. C22 | #13094046 | direct (N × H) |
| 149. C2 | C2×#13094046 | direct (N × H) |