Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
472 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 393. C3×C5 | #1830 | semidirect |
| 449. C5 | #69029 | semidirect |
| 466. C3 | #10604387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11753187 | 2 |
| C2×#91175 | 2 |
| #11746738 | 2 |
| C3×#64867 | 2 |
| #11746576 | 2 |
| #11746575 | 2 |
| #10604387 | 3 |
| #69029 | 5 |