Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19104676 |
| Fitting | C2×D8×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
1156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216380, C4×#19104676, #35216409, … |
| maximal normal subgroup of | #35216380, C4×#19104676, #35216409, … |
| maximal quotient of | C2×#23781465, C2×#23781466, C2×#23781490, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 969);