Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C2×C4⋊C4×C163 ⋊ C2 |
| Sylow | C163 ⋊ #397 |
170 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 57 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,163|a^2=e,c^2=d,b^a=bd,c^a=ce,c^b=cf,g^b=g^1621642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35213520, #35213525, #35213547, … |
| maximal normal subgroup of | #35213520, #35213525, #35213547, … |
| maximal quotient of | #35212778, #35212784, #35212795, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 475);