Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
500 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 93 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. C3×C5×#474 | C2 | semidirect |
| 3. #11751191 | C2 | semidirect |
| 4. #11751189 | C2 | semidirect |
| 5. D4⋊(C3⋊#168) | C2 | semidirect |
| 6. #11746306 | C2 | semidirect |
| 7. #11746305 | C2 | semidirect |
| 28. C5×#474 | D3 | semidirect |
| 60. C3×#474 | D5 | semidirect |
| 156. #474 | D15 | semidirect |
| 321. C3×C5 | #1641 | semidirect |
| 376. C5 | #71112 | semidirect |
| 393. C3 | #10601905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11756312 | 2 |
| C3×C5×#474 | 2 |
| #11751191 | 2 |
| #11751189 | 2 |
| D4⋊(C3⋊#168) | 2 |
| #11746306 | 2 |
| #11746305 | 2 |
| #10601905 | 3 |
| #71112 | 5 |