Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
376 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 171. C3×C5 | #1837 | semidirect |
| 198. C5 | #69791 | semidirect |
| 207. C3 | #10599721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×C8×Dic5 | 2 |
| #11748431 | 2 |
| #11746373 | 2 |
| C5×#4552 | 2 |
| #11745984 | 2 |
| #10599721 | 3 |
| #69791 | 5 |