Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
304 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 104 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 |
|---|---|---|
| 12. C5×#803 | C4 | semidirect |
| 14. C3×C4×#168 | C4 | semidirect |
| 42. C4×#168 | Dic3 | semidirect |
| 68. #803 | Dic5 | semidirect |
| 171. C3×C5 | #1288 | semidirect |
| 206. C5 | #67666 | semidirect |
| 218. C3 | #10598243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751038 | 2 |
| C5×#4926 | 2 |
| C3×C4×#681 | 2 |
| #10598243 | 3 |
| #67666 | 5 |