Finite Group DatabasebetaFinite Group Databasebeta| order | 10432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#19104729 |
| Fitting | C2×C42×C163 ⋊ C2 |
| Sylow | C163 ⋊ C2×#126 |
246 conjugacy classes of subgroups.
2620 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #35212903, #35212906, #35217084, … |
| maximal normal subgroup of | #35212903, #35212906, #35217084, … |
| maximal quotient of | C2×#23781533, C2×#23781549, C2×#23781556, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10432, 1074);