Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15692198 |
| Fitting | C2×Q16×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
722 conjugacy classes — view the full character table.
| maximal subgroup of | #27172981, C4×#15692198, #27172994, … |
| maximal normal subgroup of | #27172981, C4×#15692198, #27172994, … |
| maximal quotient of | C2×#20264977, C2×#20264981, C2×#20265004, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 972);