Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#15692274 |
| Fitting | C2×D8×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
728 conjugacy classes — view the full character table.
| maximal subgroup of | #27172836, #27172841, #27172878, … |
| maximal normal subgroup of | #27172836, #27172841, #27172878, … |
| maximal quotient of | C2×#20265170, C2×#20265214, C2×D8×Dic101, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1328);