Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
360 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 87 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. #15689146 | C2 | semidirect |
| 3. C2×#13093952 | C2 | semidirect |
| 4. C2×#13093951 | C2 | semidirect |
| 5. C2×#13093950 | C2 | semidirect |
| 6. C42×Dic47 | C2 | semidirect |
| 7. C2×#104×C47 | C2 | semidirect |
| 10. #13094022 | C4 | semidirect |
| 11. #13094020 | C4 | semidirect |
| 12. #13094013 | C4 | semidirect |
| 13. #13094011 | C4 | semidirect |
| 52. C42×C47 | D4 | semidirect |
| 61. C4×Dic47 | D4 | semidirect |
| 119. Dic47 | #104 | semidirect |
| 132. C2×#104 | D47 | semidirect |
| 134. C47 | #1962 | semidirect |
| 191. C42 | C22⋊D47 | semidirect |