Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
484 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 123 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×#13094047 | C2 | semidirect |
| 2. C2×#13094046 | C2 | semidirect |
| 3. #15689775 | C2 | semidirect |
| 4. #15689501 | C2 | semidirect |
| 5. #15689365 | C2 | semidirect |
| 6. #15689327 | C2 | semidirect |
| 7. #15689288 | C2 | semidirect |
| 8. #15689283 | C2 | semidirect |
| 9. #15689205 | C2 | semidirect |
| 10. C8×C22⋊D47 | C2 | semidirect |
| 11. C47×#467 | C2 | semidirect |
| 77. D376 | D4 | semidirect |
| 129. Dic47 | #135 | semidirect |
| 142. #467 | D47 | semidirect |
| 148. C47 | #3283 | semidirect |