Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
880 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 104 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. #11752051 | C2 | semidirect |
| 3. #11746804 | C2 | semidirect |
| 4. C3×#64933 | C2 | semidirect |
| 5. #11746566 | C2 | semidirect |
| 17. #91241 | C22 | semidirect |
| 18. C3×C22⋊#170 | C22 | semidirect |
| 25. #64933 | D3 | semidirect |
| 69. C22⋊#170 | C2×D3 | semidirect |
| 75. C23×C3×C5 | M16 | semidirect |
| 95. C22×C5×D3 | M16 | semidirect |
| 232. C23×C5 | ΓL(1,𝔽25) | semidirect |
| 274. C23×C3 | #704 | semidirect |
| 292. C22×D3 | #704 | semidirect |
| 364. C3×C5 | #1462 | semidirect |
| 426. C23 | #6739 | semidirect |
| 451. C5 | #68120 | semidirect |
| 481. C3 | #10605022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D3×C22⋊Dic5 | 2 |
| #11752051 | 2 |
| #11746804 | 2 |
| C3×#64933 | 2 |
| #11746566 | 2 |
| #10605022 | 3 |
| #68120 | 5 |