Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic808 |
| Sylow | C101 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
1622 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27169312, #27169314, #27169324, … |
| maximal normal subgroup of | #27169312, #27169314, #27169324, … |
| maximal quotient of | C2×#20264982, C2×#20265003, C4×Dic808, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 977);