Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×C22⋊Dic163 |
| Sylow | C163 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212758, #35212759, #35212773, … |
| maximal normal subgroup of | #35212758, #35212759, #35212773, … |
| maximal quotient of | C22×C163⋊#95, C2×C4×C22⋊Dic163, C2×#23781521, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 997);