Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
500 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 185 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. #15689591 | C2 | semidirect |
| 3. #15689217 | C2 | semidirect |
| 4. #15689210 | C2 | semidirect |
| 5. #15689205 | C2 | semidirect |
| 6. #15689117 | C2 | semidirect |
| 7. C2×C8×Dic47 | C2 | semidirect |
| 8. C47×#427 | C2 | semidirect |
| 10. #13094046 | C4 | semidirect |
| 33. #10625350 | C2×C4 | semidirect |
| 38. C2×C8×C47 | C2×C4 | semidirect |
| 52. Dic188 | C2×C4 | semidirect |
| 53. D376 | C2×C4 | semidirect |
| 54. #10625325 | C2×C4 | semidirect |
| 87. Dic47 | #135 | semidirect |
| 98. #427 | D47 | semidirect |
| 101. C47 | C4×#135 | semidirect |
| 136. C2×C8 | C4×D47 | semidirect |