Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
336 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 91 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. C3×C5×#475 | C2 | semidirect |
| 4. #11751125 | C2 | semidirect |
| 5. #11746368 | C2 | semidirect |
| 7. #11746300 | C2 | semidirect |
| 25. C5×#475 | D3 | semidirect |
| 51. C3×#475 | D5 | semidirect |
| 94. C3⋊#168 | SD16 | semidirect |
| 130. #475 | D15 | semidirect |
| 259. C3×C5 | #1686 | semidirect |
| 301. C5 | #71120 | semidirect |
| 314. C3 | #10601913 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C5×#475 | 2 |
| #11751186 | 2 |
| #11751128 | 2 |
| #11751125 | 2 |
| #11746368 | 2 |
| #11746306 | 2 |
| #11746300 | 2 |
| #10601913 | 3 |
| #71120 | 5 |