Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692188 |
| Sylow | C101 ⋊ C2×#107 |
130 conjugacy classes of subgroups.
1028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27171024, C4×#15692188, #27171028, … |
| maximal normal subgroup of | #27171024, C4×#15692188, #27171028, … |
| maximal quotient of | C2×#20264929, #27169890, #27169906, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 582);