Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#15692176 |
| Sylow | C101 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#15692176, #102×Dic101, #27170957, … |
| maximal normal subgroup of | C4×#15692176, #102×Dic101, #27170957, … |
| maximal quotient of | C2×D4⋊#11717579, #27169531, #27169557, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 536);