Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15692200 |
| Fitting | C2×C16×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1622 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27172983, C4×#15692200, #27172995, … |
| maximal normal subgroup of | #27172983, C4×#15692200, #27172995, … |
| maximal quotient of | C2×#20264979, C2×#20264982, C2×#20265005, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 974);