Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#19104656 |
| Sylow | C163 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#19104656, #102×Dic163, #35214361, … |
| maximal normal subgroup of | C4×#19104656, #102×Dic163, #35214361, … |
| maximal quotient of | C2×D4⋊(C163⋊C8), #35212935, #35212961, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 536);