Finite Group DatabasebetaFinite Group Databasebeta| order | 5696 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15667956 |
| Sylow | C89 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
638 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#15667956, #26022107, #26022113, … |
| maximal normal subgroup of | C4×#15667956, #26022107, #26022113, … |
| maximal quotient of | C2×#19151399, C2×#19151401, C2×#19151425, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5696, 973);