Finite Group DatabasebetaFinite Group Databasebeta| order | 5696 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#15667953 |
| Fitting | C2×D8×C89 ⋊ C2 |
| Sylow | C89 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
638 conjugacy classes — view the full character table.
| maximal subgroup of | #26022096, C4×#15667953, #26022125, … |
| maximal normal subgroup of | #26022096, C4×#15667953, #26022125, … |
| maximal quotient of | C2×#19151398, C2×#19151399, C2×#19151423, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5696, 969);