Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
556 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 88 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. #11752680 | C2 | semidirect |
| 2. C3×#65132 | C2 | semidirect |
| 3. #11747083 | C2 | semidirect |
| 4. #11747039 | C2 | semidirect |
| 5. #11746305 | C2 | semidirect |
| 6. C5×#4485 | C2 | semidirect |
| 7. #11745834 | C2 | semidirect |
| 30. #65132 | D3 | semidirect |
| 66. #4485 | D5 | semidirect |
| 95. Dic30 | D8 | semidirect |
| 343. C3×C5 | #1621 | semidirect |
| 405. C5 | #71013 | semidirect |
| 424. C3 | #10599196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752680 | 2 |
| C3×#65132 | 2 |
| #11747083 | 2 |
| #11747039 | 2 |
| #11746305 | 2 |
| C5×#4485 | 2 |
| #11745834 | 2 |
| #10599196 | 3 |
| #71013 | 5 |