Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C3 |
| direct product | C3⋊D3×AGL(1,ℤ/16) |
| Fitting | C32×AGL(1,ℤ/16) ⋊ C2 |
| Sylow | C32 ⋊ C2×AGL(1,ℤ/16) |
2130 conjugacy classes of subgroups.
138 conjugacy classes — view the full character table.
| maximal subgroup of | C2×C3⋊D3×AGL(1,ℤ/16), D32×AGL(1,ℤ/16) |
| maximal normal subgroup of | C2×C3⋊D3×AGL(1,ℤ/16), D32×AGL(1,ℤ/16) |
| maximal quotient of | C3⋊D3×#12067, C2×C3⋊D3×AGL(1,ℤ/16) |
Past the SmallGroups library coverage — no SmallGroups id.