Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C163 ⋊ #364 |
46 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=c,c^2=f,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^1622620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212509, #35212510, #35212512, … |
| maximal normal subgroup of | #35212509, #35212510, #35212512, … |
| maximal quotient of | #35212600, #35212606, #35212618, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 370);