Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C215 |
| direct product | C22×D3×#442 |
| Fitting | C22×C3×#442 ⋊ C2 |
| Sylow | C3 ⋊ C23×#442 |
29188 conjugacy classes of subgroups.
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D3×#495725, D3×#10576928, D3×#6453969 |
| maximal normal subgroup of | D3×#495725, D3×#10576928, D3×#6453969 |
| maximal quotient of | D3×#7622637 |
| automorphism group of | #4489, #4490, #4491, … |
Past the SmallGroups library coverage — no SmallGroups id.