Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊Dic163 |
| Sylow | C163 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212765, #35212766, #35212770, … |
| maximal normal subgroup of | #35212765, #35212766, #35212770, … |
| maximal quotient of | C22×C163⋊#95, C2×C4×C4⋊Dic163, C2×#23781525, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1000);