Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C163 ⋊ #488 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|b^2=ef,c^2=d,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^b=g^162,g^c=g^1621156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212710, #35212712, #488×D163, … |
| maximal normal subgroup of | #35212710, #35212712, #488×D163, … |
| maximal quotient of | #35214666, #35215215, #35215222, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 903);