Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#19104675 |
| Sylow | C163 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212615, #35212616, #35212617, … |
| maximal normal subgroup of | #35212615, #35212616, #35212617, … |
| maximal quotient of | C2×#23781441, C4×#19104675, C2×C22⋊(C163⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 964);