Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D4×C4⋊ΓL(1,𝔽16) |
| Fitting | C3×C4×C5×D4 ⋊ C4 |
| Hall | C3×C5 ⋊ D4×C4⋊C4 |
| Sylow | C5 ⋊ D4×C4⋊Dic3 |
| Sylow | C3 ⋊ D4×C4⋊AGL(1,𝔽5) |
1552 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
150 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 52715);