Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#13108083 |
| Sylow | C101 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
440 conjugacy classes — view the full character table.
| maximal subgroup of | #27185976, #27185977, #27185991, … |
| maximal normal subgroup of | #27185976, #27185977, #27185991, … |
| maximal quotient of | C8×#13108083, #27186341, #27186351, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1510);