Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
220 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 73 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. #11746756 | C2 | semidirect |
| 3. #11746753 | C2 | semidirect |
| 25. C3×D40 | C8 | semidirect |
| 67. D40 | C3⋊C8 | semidirect |
| 151. C3×C5 | #1331 | semidirect |
| 183. C5 | #67763 | semidirect |
| 194. C3 | #10598609 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65161 | 2 |
| #11746756 | 2 |
| #11746753 | 2 |
| #10598609 | 3 |
| #67763 | 5 |