Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C163 ⋊ #346 |
54 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^b=g^1622632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212671, #346×D163, C2×#23781440, … |
| maximal normal subgroup of | #35212671, #346×D163, C2×#23781440, … |
| maximal quotient of | #35212452, #35212455, #35212613, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 324);