Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×#91790 |
| Fitting | C2×C3×C4×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#131 |
| Sylow | C5 ⋊ C4×#901 |
| Sylow | C3 ⋊ C4×#4047 |
1144 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, 137144);