Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C163 ⋊ #465 |
124 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 45 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,163|b^2=d,d^2=f,b^a=bd,c^a=ce,d^a=df,g^b=g^1621156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #465×D163, C2×#23781892, #35224114, … |
| maximal normal subgroup of | #465×D163, C2×#23781892, #35224114, … |
| maximal quotient of | #35213875, #35213882, #35213909, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 776);