Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×C22⋊#11717579 |
| Sylow | C101 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups.
1640 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27168974, #27168975, #27168978, … |
| maximal normal subgroup of | #27168974, #27168975, #27168978, … |
| maximal quotient of | C2×#20264901, C2×#20264903, #27169446, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 510);