Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D163 |
| Fitting | #106×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
1162 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D163, #365×D163, C2×#106×D163, … |
| maximal normal subgroup of | #360×D163, #365×D163, C2×#106×D163, … |
| maximal quotient of | #334×D163, #35213290, #35213305, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 578);