Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692172 |
| Sylow | C101 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
1022 conjugacy classes — view the full character table.
| maximal subgroup of | #27169249, #27169250, C4×#15692172, … |
| maximal normal subgroup of | #27169249, #27169250, C4×#15692172, … |
| maximal quotient of | C2×#20264901, #27169453, #27169459, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 526);