Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19104694 |
| Sylow | C163 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
2632 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35214232, #35214234, C2×#23781421, … |
| maximal normal subgroup of | #35214232, #35214234, C2×#23781421, … |
| maximal quotient of | C2×#23781511, C2×C4×C22⋊Dic163, C2×C4×C4⋊Dic163, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1005);