Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
664 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 664 conjugacy classes of subgroups — too many to draw. Only its 122 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. D3×C22⋊#170 | C2 | semidirect |
| 3. #11746784 | C2 | semidirect |
| 4. C3×#64913 | C2 | semidirect |
| 5. #11746566 | C2 | semidirect |
| 25. #64913 | D3 | semidirect |
| 33. C2×C5×D12 | C8 | semidirect |
| 78. C22×C5×D3 | C2×C8 | semidirect |
| 82. C2×C3×C4×C5 | C2×C8 | semidirect |
| 171. C2×D12 | #170 | semidirect |
| 200. C2×C4×C5 | D3×C8 | semidirect |
| 244. C22×D3 | C2×#170 | semidirect |
| 253. C2×C3×C4 | C2×#170 | semidirect |
| 311. C3×C5 | #1459 | semidirect |
| 367. C2×C4 | D3×#170 | semidirect |
| 377. C5 | #68143 | semidirect |
| 399. C3 | #10604931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#91435 | 2 |
| D3×C22⋊#170 | 2 |
| #11746784 | 2 |
| C3×#64913 | 2 |
| #11746566 | 2 |
| #10604931 | 3 |
| #68143 | 5 |