Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692189 |
| Sylow | C101 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27169223, #27169224, #27169241, … |
| maximal normal subgroup of | #27169223, #27169224, #27169241, … |
| maximal quotient of | C2×#20264930, #27169891, #27169907, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 583);