Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
302 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 5. C4×C5×SL(2,𝔽3) | C4 | semidirect |
| 6. #91185 | C4 | semidirect |
| 38. C4×SL(2,𝔽3) | Dic5 | semidirect |
| 153. C5 | #73067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C5×#41⋊C3 | 2 |
| C2×#91185 | 2 |
| #10602436 | 3 |
| #91087 | 4 |
| #73067 | 5 |