Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
288 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 176. C3×C5 | #1676 | semidirect |
| 205. C5 | #68589 | semidirect |
| 215. C3 | #10602171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×Dic30 | 2 |
| C5×#4682 | 2 |
| #11746963 | 2 |
| C3×#64678 | 2 |
| #11745862 | 2 |
| #10602171 | 3 |
| #68589 | 5 |