Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
688 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 118 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. #11752341 | C2 | semidirect |
| 3. C3×#65678 | C2 | semidirect |
| 4. #11746508 | C2 | semidirect |
| 17. #91233 | C22 | semidirect |
| 18. C3×#4004 | C22 | semidirect |
| 24. #65678 | D3 | semidirect |
| 66. #4004 | C2×D3 | semidirect |
| 302. C3×C5 | #1545 | semidirect |
| 361. C5 | #70774 | semidirect |
| 380. C3 | #10604609 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D5×#874 | 2 |
| #11752341 | 2 |
| C3×#65678 | 2 |
| #11746508 | 2 |
| #10604609 | 3 |
| #70774 | 5 |