Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic163 |
| Sylow | C163 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
1660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214327, #100×Dic163, #35214331, … |
| maximal normal subgroup of | #35214327, #100×Dic163, #35214331, … |
| maximal quotient of | M16×C163⋊C8, #35212817, #35212823, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 500);