Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #124×C163 ⋊ C2 |
| Sylow | C163 ⋊ #495 |
130 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 130 conjugacy classes of subgroups — too many to draw. Only its 43 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,c^2=ef,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 | #495×D163, C2×#23782047, #35224961, … |
| maximal normal subgroup of | #495×D163, C2×#23782047, #35224961, … |
| maximal quotient of | #35214127, #35214132, #35214136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 931);