Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
380 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
|---|---|---|
| 4. C8×C3⋊#170 | C2 | semidirect |
| 5. C3×#170⋊C8 | C2 | semidirect |
| 6. #11746487 | C2 | semidirect |
| 7. #11746485 | C2 | semidirect |
| 29. #170⋊C8 | D3 | semidirect |
| 239. C3×C5 | #1453 | semidirect |
| 278. C5 | #68072 | semidirect |
| 290. C3 | #10603895 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#6739 | 2 |
| #11751793 | 2 |
| #11747579 | 2 |
| C8×C3⋊#170 | 2 |
| C3×#170⋊C8 | 2 |
| #11746487 | 2 |
| #11746485 | 2 |
| #10603895 | 3 |
| #68072 | 5 |