Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
| direct product | C22×#91104 |
| Fitting | C23×C3×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C22×C22⋊C8 |
| Sylow | C5 ⋊ C22×(C2×D3)⋊C8 |
| Sylow | C3 ⋊ C22×#3952 |
2144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
528 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 137291);