Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×Dic163⋊C8 |
| Sylow | C163 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212475, #35214384, C4×Dic163⋊C8, … |
| maximal normal subgroup of | #35212475, #35214384, C4×Dic163⋊C8, … |
| maximal quotient of | C2×#23781415, C2×#23781417, #35213282, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 569);