Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19104678 |
| Fitting | C2×Q16×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1156 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35216385, C4×#19104678, #35216398, … |
| maximal normal subgroup of | #35216385, C4×#19104678, #35216398, … |
| maximal quotient of | C2×#23781465, C2×#23781469, C2×#23781492, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 972);