Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#19104734 |
| Sylow | C163 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35215482, #35215486, #35215495, … |
| maximal normal subgroup of | #35215482, #35215486, #35215495, … |
| maximal quotient of | C2×#23781534, C2×#23781561, C2×#23781562, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1092);