Finite Group DatabasebetaFinite Group Databasebeta| order | 2304 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210×C3 |
| direct product | C2×C3⋊D3×#442 |
| Fitting | C2×C32×#442 ⋊ C2 |
| Sylow | C32 ⋊ C22×#442 |
10962 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), #72228219, D3×C3⋊D3×#442 |
| maximal normal subgroup of | C2×C3⋊D3×AGL(1,ℤ/16), #72228219 |
| maximal quotient of | C2×C3⋊D3×AGL(1,ℤ/16), C2×C3⋊D3×#1580, D3×C3⋊D3×#442 |
Past the SmallGroups library coverage — no SmallGroups id.