Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#15692278 |
| Fitting | C2×Q16×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #27172838, #27172843, #27172880, … |
| maximal normal subgroup of | #27172838, #27172843, #27172880, … |
| maximal quotient of | C2×#20265172, C2×#20265214, C2×#20265259, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1332);