Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
416 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 100 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. #11750795 | C2 | semidirect |
| 2. C5×#4693 | C2 | semidirect |
| 4. #11746930 | C2 | semidirect |
| 5. #11746912 | C2 | semidirect |
| 6. #11746906 | C2 | semidirect |
| 7. C3×#64674 | C2 | semidirect |
| 29. #64674 | D3 | semidirect |
| 52. #4693 | D5 | semidirect |
| 239. C3×C5 | #1717 | semidirect |
| 280. C5 | #68092 | semidirect |
| 293. C3 | #10602053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11750795 | 2 |
| C5×#4693 | 2 |
| #11747029 | 2 |
| #11746930 | 2 |
| #11746912 | 2 |
| #11746906 | 2 |
| C3×#64674 | 2 |
| #10602053 | 3 |
| #68092 | 5 |