Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
688 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 1. #11756571 | C2 | semidirect |
| 3. C2×C3×#3968 | C2 | semidirect |
| 5. #11745976 | C2 | semidirect |
| 13. C5×#947 | C4 | semidirect |
| 22. C2×#3968 | D3 | semidirect |
| 90. #947 | Dic5 | semidirect |
| 255. C3×C5 | #1888 | semidirect |
| 299. C5 | #70104 | semidirect |
| 313. C3 | #10602517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756571 | 2 |
| C2×C5×#947 | 2 |
| C2×C3×#3968 | 2 |
| #11748389 | 2 |
| #11745976 | 2 |
| #10602517 | 3 |
| #70104 | 5 |