Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
280 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 74 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. #11746782 | C2 | semidirect |
| 3. C3×C22⋊#674 | C2 | semidirect |
| 15. C22⋊#674 | D3 | semidirect |
| 46. C22×C5×D3 | C16 | semidirect |
| 147. C22×D3 | #674 | semidirect |
| 188. C3×C5 | #1314 | semidirect |
| 233. C5 | #67522 | semidirect |
| 248. C3 | #10598817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×(C2×D3)⋊#168 | 2 |
| #11746782 | 2 |
| C3×C22⋊#674 | 2 |
| #10598817 | 3 |
| #67522 | 5 |