Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 146 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 |
|---|---|---|
| 3. C8×C3⋊#170 | C2 | semidirect |
| 4. C3×C8×#170 | C2 | semidirect |
| 5. #11746485 | C2 | semidirect |
| 23. C8×#170 | D3 | semidirect |
| 30. C8×D15 | C8 | semidirect |
| 36. #6648 | C8 | semidirect |
| 181. C3×C5 | #1450 | semidirect |
| 210. C5 | #68047 | semidirect |
| 219. C3 | #10603809 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11751812 | 2 |
| C8×#1200 | 2 |
| C8×C3⋊#170 | 2 |
| C3×C8×#170 | 2 |
| #11746485 | 2 |
| #10603809 | 3 |
| #68047 | 5 |