Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C163 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=e,d^2=f,c^b=cf,g^b=g^1622632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212621, #35212623, #35212624, … |
| maximal normal subgroup of | #35212621, #35212623, #35212624, … |
| maximal quotient of | C8×#14579683, #35212819, #35212825, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 504);