Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692316 |
| Sylow | C101 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
422 conjugacy classes — view the full character table.
| maximal subgroup of | #27186229, #27186230, C4×#15692316, … |
| maximal normal subgroup of | #27186229, #27186230, C4×#15692316, … |
| maximal quotient of | C2×#20266022, C2×#20266023, #27186374, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1533);