Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
308 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 133. C3×Dic5 | Q32 | semidirect |
| 212. Dic5 | Dic24 | semidirect |
| 233. C3×C5 | #2209 | semidirect |
| 265. C5 | #69293 | semidirect |
| 275. C3 | #10602290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×Dic24 | 2 |
| #11748018 | 2 |
| Dic5×Dic12 | 2 |
| C2×#90948 | 2 |
| #11746324 | 2 |
| C3×#64721 | 2 |
| #11745900 | 2 |
| #10602290 | 3 |
| #69293 | 5 |