Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692196 |
| Fitting | C2×D8×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
722 conjugacy classes — view the full character table.
| maximal subgroup of | #27172976, C4×#15692196, #27173005, … |
| maximal normal subgroup of | #27172976, C4×#15692196, #27173005, … |
| maximal quotient of | C2×#20264977, C2×#20264978, C2×#20265002, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 969);