Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#14579684 |
| Fitting | C22×D4×C163 ⋊ C2 |
| Sylow | C163 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
1648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214881, #35214882, #35214884, … |
| maximal normal subgroup of | #35214881, #35214882, #35214884, … |
| maximal quotient of | C22×#19104655, C22×#19104656, C22×#19104668, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1318);