| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #101×D163 |
| Fitting | #101×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
913 conjugacy classes — view the full character table.
| maximal subgroup of | #355×D163, #356×D163, #35216222, … |
| maximal normal subgroup of | #355×D163, #356×D163, #35216222, … |
| maximal quotient of | #324×D163, #35212858, #35212864, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 527);