Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C101 ⋊ #501 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=d,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,c^b=cf,g^b=g^100716 conjugacy classes — view the full character table.
| maximal subgroup of | #501×D101, C2×#20265584, #27181653, … |
| maximal normal subgroup of | #501×D101, C2×#20265584, #27181653, … |
| maximal quotient of | #27171297, #27171868, #27171869, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 956);