Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19104724 |
| Fitting | C22×Q8×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
1648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214921, #35214937, #35214939, … |
| maximal normal subgroup of | #35214921, #35214937, #35214939, … |
| maximal quotient of | C2×#23781530, C2×#23781555, C2×#23781566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1067);