Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
224 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 50 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. #11746732 | C2 | semidirect |
| 3. C3×#64861 | C2 | semidirect |
| 15. #64861 | D3 | semidirect |
| 158. C3×C5 | #1357 | semidirect |
| 189. C5 | #67571 | semidirect |
| 198. C3 | #10598750 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11747029 | 2 |
| #11746732 | 2 |
| C3×#64861 | 2 |
| #10598750 | 3 |
| #67571 | 5 |