Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic101 |
| Sylow | C101 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #27172976, D16×Dic101, SD32×Dic101, … |
| maximal normal subgroup of | #27172976, D16×Dic101, SD32×Dic101, … |
| maximal quotient of | D8×#11717579, #27169962, #27170017, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 632);