Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
300 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 237. C3×C5 | #1680 | semidirect |
| 272. C5 | #71054 | semidirect |
| 283. C3 | #10601911 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×C3⋊#168 | 2 |
| C5×#5020 | 2 |
| C3×#65320 | 2 |
| #11746923 | 2 |
| #11745865 | 2 |
| #11745857 | 2 |
| #11745856 | 2 |
| #10601911 | 3 |
| #71054 | 5 |