Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
356 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 139 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. C3×C5×C82 | C2 | semidirect |
| 3. #11746275 | C2 | semidirect |
| 12. C5×C82 | D3 | semidirect |
| 20. C3×C82 | D5 | semidirect |
| 46. C82 | D15 | semidirect |
| 84. C3×C5 | #1454 | semidirect |
| 99. C5 | #68049 | semidirect |
| 104. C3 | #10598842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750786 | 2 |
| C3×C5×C82 | 2 |
| #11746275 | 2 |
| #10598842 | 3 |
| #68049 | 5 |