Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D101 |
| Fitting | Q32×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
572 conjugacy classes — view the full character table.
| maximal subgroup of | SD64×D101, Q64×D101, #27173448, … |
| maximal normal subgroup of | SD64×D101, Q64×D101, #27173448, … |
| maximal quotient of | #358×D101, #366×D101, #27172988, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 975);