Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C3 |
| direct product | C2×C3⋊D3×#444 |
| Fitting | C2×C32×#444 ⋊ C2 |
| Sylow | C32 ⋊ C22×#444 |
8130 conjugacy classes of subgroups.
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C3⋊D3×AGL(1,ℤ/16) |
| maximal normal subgroup of | C2×C3⋊D3×AGL(1,ℤ/16) |
| maximal quotient of | C2×C3⋊D3×#1580 |
Past the SmallGroups library coverage — no SmallGroups id.