Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#14579689 |
| Sylow | C163 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
1648 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35213340, C8×#14579689, #35213352, … |
| maximal normal subgroup of | #35213340, C8×#14579689, #35213352, … |
| maximal quotient of | C8×#14579689, #35213384, #35213386, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 642);