Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #100×D163 |
| Fitting | #100×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×#100 |
186 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
913 conjugacy classes — view the full character table.
| maximal subgroup of | AΣL(1,𝔽16)×D163, #352×D163, #35216179, … |
| maximal normal subgroup of | AΣL(1,𝔽16)×D163, #352×D163, #35216179, … |
| maximal quotient of | #323×D163, #35212855, #35212861, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 524);