Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D1616 |
| Fitting | C2×C16×C101 ⋊ C2 |
| Sylow | C101 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
1622 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27169309, #27169311, #27169321, … |
| maximal normal subgroup of | #27169309, #27169311, #27169321, … |
| maximal quotient of | C2×#20264979, C2×#20265003, C4×D1616, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 970);