Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
416 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 99 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. #11751177 | C2 | semidirect |
| 3. #11751171 | C2 | semidirect |
| 4. #11751171 | C2 | semidirect |
| 5. #11751171 | C2 | semidirect |
| 6. #11750782 | C2 | semidirect |
| 7. #11746275 | C2 | semidirect |
| 239. C3×C5 | #1717 | semidirect |
| 280. C5 | #71278 | semidirect |
| 293. C3 | #10602071 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#493 | 2 |
| #11751177 | 2 |
| #11751171 | 2 |
| #11750782 | 2 |
| #11746275 | 2 |
| #10602071 | 3 |
| #71278 | 5 |