Finite Group DatabasebetaFinite Group DatabasebetaOrder 1920.
260 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 260 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 |
|---|---|---|
| 33. C3×Dic20 | Q8 | semidirect |
| 82. Dic20 | Dic6 | semidirect |
| 167. C3×C5 | #2227 | semidirect |
| 194. C5 | #70911 | semidirect |
| 203. C3 | #10602183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C5×#4682 | 2 |
| C3×C4×Dic20 | 2 |
| C4⋊(C3⋊#672) | 2 |
| #11745940 | 2 |
| #11745897 | 2 |
| #10602183 | 3 |
| #70911 | 5 |