Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
424 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11752413 | C2 | semidirect |
| 3. #11752407 | C2 | semidirect |
| 4. D4⋊(C3⋊#170) | C2 | semidirect |
| 5. #11746743 | C2 | semidirect |
| 289. C3×C5 | #1482 | semidirect |
| 336. C5 | #71750 | semidirect |
| 353. C3 | #10604478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×#65934 | 2 |
| #11752413 | 2 |
| #11752407 | 2 |
| D4⋊(C3⋊#170) | 2 |
| #11746743 | 2 |
| #10604478 | 3 |
| #71750 | 5 |