Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14579688 |
| Fitting | C22×C8×C163 ⋊ C2 |
| Sylow | C163 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
2620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214869, #35214871, #35214890, … |
| maximal normal subgroup of | #35214869, #35214871, #35214890, … |
| maximal quotient of | C22×#19104657, C22×#19104660, C22×#19104667, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1323);