Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 84 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. #11746930 | C2 | semidirect |
| 5. #11746307 | C2 | semidirect |
| 6. C3×#64700 | C2 | semidirect |
| 7. #11745862 | C2 | semidirect |
| 31. #64700 | D3 | semidirect |
| 245. C3×C5 | #1703 | semidirect |
| 285. C5 | #68545 | semidirect |
| 298. C3 | #10601932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4842 | 2 |
| #11747008 | 2 |
| #11746964 | 2 |
| #11746930 | 2 |
| #11746307 | 2 |
| C3×#64700 | 2 |
| #11745862 | 2 |
| #10601932 | 3 |
| #68545 | 5 |