Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
208 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 4. #10597973 | C3 | direct (N × H) |
| 8. C2×C3×Dic20 | C4 | semidirect |
| 9. C3×#3949 | C4 | semidirect |
| 35. C2×Dic20 | C3×C4 | semidirect |
| 36. #3949 | C3×C4 | semidirect |
| 153. C3×C5 | #1340 | semidirect |
| 181. C5 | C3×#1340 | semidirect |
| 191. C3 | #10597973 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65426 | 2 |
| C3×C5×H(3,ℤ/4) | 2 |
| C3×#64773 | 2 |
| #10597973 | 3 |
| C3×#1340 | 5 |