Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. #15689081 | C2 | semidirect |
| 4. C2×#13093935 | C2 | semidirect |
| 5. #15688887 | C2 | semidirect |
| 6. #15688883 | C2 | semidirect |
| 9. #13094031 | C4 | semidirect |
| 16. #13093948 | C4 | semidirect |
| 17. #13093945 | C4 | semidirect |
| 24. #104×C47 | C4 | semidirect |
| 106. C47 | #1765 | semidirect |
| 118. #104 | Dic47 | semidirect |