Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
880 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 880 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. #11752457 | C2 | semidirect |
| 3. C3×#65798 | C2 | semidirect |
| 4. #11746566 | C2 | semidirect |
| 18. #91241 | C22 | semidirect |
| 20. C3×C22⋊#170 | C22 | semidirect |
| 24. #65798 | D3 | semidirect |
| 70. C22⋊#170 | C2×D3 | semidirect |
| 89. C22×C5×D3 | M16 | semidirect |
| 273. C22×D3 | #704 | semidirect |
| 339. C3×C5 | #1462 | semidirect |
| 411. C5 | #69967 | semidirect |
| 435. C3 | #10605022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×(C2×D3)⋊Dic5 | 2 |
| #11752457 | 2 |
| C3×#65798 | 2 |
| #11746566 | 2 |
| #10605022 | 3 |
| #69967 | 5 |