Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
300 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 85 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 | #68468 | semidirect |
| 283. C3 | #10599261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751195 | 2 |
| #11751180 | 2 |
| #11750950 | 2 |
| #11750931 | 2 |
| C3×C5×#332 | 2 |
| #11746307 | 2 |
| #11746301 | 2 |
| #10599261 | 3 |
| #68468 | 5 |