Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C43 · Schur multiplier (H2) = C23×C43 |
| direct product | C2×C3×C42×AGL(1,𝔽5) |
| unambiguous semidirect product | D5⋊(C3×C43) |
| Fitting | C2×C3×C42×C5 ⋊ C4 |
| derived, Sylow | C5 ⋊ C2×C3×C43 |
| Hall | C3×C5 ⋊ C2×C43 |
2544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 45021);