Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C163 ⋊ M64 |
32 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=c,c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^1622632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212671, #35212672, #35212675, … |
| maximal normal subgroup of | #35212671, #35212672, #35212675, … |
| maximal quotient of | #35212670, C22⋊(C163⋊C32), C4⋊(C163⋊C32), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 383);