Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
312 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 312 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 |
|---|---|---|
| 82. C5×Dic6 | Q16 | semidirect |
| 207. Dic6 | Dic20 | semidirect |
| 241. C3×C5 | #1670 | semidirect |
| 276. C5 | #68465 | semidirect |
| 287. C3 | #10601735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4830 | 2 |
| #11747100 | 2 |
| #11746945 | 2 |
| #11746927 | 2 |
| #11746303 | 2 |
| C3×#64702 | 2 |
| #11745869 | 2 |
| #10601735 | 3 |
| #68465 | 5 |