Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#91096 |
| Hall | C3×C5 ⋊ C4×M32 |
| Sylow | C5 ⋊ C4×#812 |
| Sylow | C3 ⋊ C4×#3944 |
392 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, 38284);