Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19104726 |
| Sylow | C163 ⋊ C2×#125 |
226 conjugacy classes of subgroups.
1648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35215490, #35215492, #35215499, … |
| maximal normal subgroup of | #35215490, #35215492, #35215499, … |
| maximal quotient of | C2×#23781530, C2×#23781548, C2×#23781552, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1070);