Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#14579686 |
| Fitting | C22×Q8×C163 ⋊ C2 |
| Sylow | C163 ⋊ C22×SD16 |
298 conjugacy classes of subgroups.
1648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214867, #35214873, #35214889, … |
| maximal normal subgroup of | #35214867, #35214873, #35214889, … |
| maximal quotient of | C22×#19104655, C22×#19104659, C22×#19104666, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1321);