Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C5 · Schur multiplier (H2) = C29 |
| direct product | C23×C5×#215 |
| Fitting | C23×C3×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C23×SD16 |
| Sylow | C3 ⋊ C23×C5×SD16 |
3440 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 235356);