Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×D8×ΓL(1,𝔽16) |
| unambiguous semidirect product | D5⋊(Dic3×D8) |
| Fitting | C2×C3×C5×D8 ⋊ C4 |
| Hall | C3×C5 ⋊ C2×C4×D8 |
| Sylow | C5 ⋊ C2×Dic3×D8 |
| Sylow | C3 ⋊ C2×D8×AGL(1,𝔽5) |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
126 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D3×D8×AGL(1,𝔽5) |
| maximal normal subgroup of | C2×D3×D8×AGL(1,𝔽5) |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 141693);