Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
| direct product | C4×#91761 |
| Fitting | C3×C43×C5 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#117 |
| Sylow | C5 ⋊ C4×#872 |
| Sylow | C3 ⋊ C4×#4018 |
1504 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, 45192);