Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic163 |
| Sylow | C163 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1162 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216385, SD32×Dic163, #35216392, … |
| maximal normal subgroup of | #35216385, SD32×Dic163, #35216392, … |
| maximal quotient of | Q16×C163⋊C8, #35213387, #35213433, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 644);