Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C163 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,g^c=g^1621660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35213335, #35213339, #35213340, … |
| maximal normal subgroup of | #35213335, #35213339, #35213340, … |
| maximal quotient of | #35214397, #35214401, #35215090, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 673);