Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | Dic163⋊C16 |
| Sylow | C163 ⋊ C4⋊C16 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=c,d^2=e,e^2=f,b^a=bc,g^b=g^1622632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4⋊C16×D163, C2×Dic163⋊C16, #35216290, … |
| maximal normal subgroup of | C4⋊C16×D163, C2×Dic163⋊C16, #35216290, … |
| maximal quotient of | #35212599, #35212605, #35212613, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 367);