Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C163 ⋊ #499 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,163|a^2=d,b^2=df,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^1621156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216710, #35216711, #499×D163, … |
| maximal normal subgroup of | #35216710, #35216711, #499×D163, … |
| maximal quotient of | #35214697, #35215262, #35215265, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 949);