Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic101 |
| Sylow | C101 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #27172981, SD32×Dic101, #27172988, … |
| maximal normal subgroup of | #27172981, SD32×Dic101, #27172988, … |
| maximal quotient of | Q16×#11717579, #27169983, #27170029, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 644);