Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692174 |
| Sylow | C101 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1022 conjugacy classes — view the full character table.
| maximal subgroup of | #27169258, #27169259, C4×#15692174, … |
| maximal normal subgroup of | #27169258, #27169259, C4×#15692174, … |
| maximal quotient of | C2×#20264903, #27169456, #27169462, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 529);