Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
304 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 211. C3×C5 | #1292 | semidirect |
| 254. C5 | #67711 | semidirect |
| 269. C3 | #10598593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11752341 | 2 |
| D5⋊(C4⋊(C3⋊C8)) | 2 |
| C3×#65126 | 2 |
| #10598593 | 3 |
| #67711 | 5 |