Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19104723 |
| Fitting | C2×C42×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
2620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212887, #35212889, C2×#23781404, … |
| maximal normal subgroup of | #35212887, #35212889, C2×#23781404, … |
| maximal quotient of | C2×#23781531, C2×#23781556, C2×#23781567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1066);