Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C101 ⋊ #365 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,d^b=df,g^b=g^100716 conjugacy classes — view the full character table.
| maximal subgroup of | #365×D101, C2×#20264999, #27172903, … |
| maximal normal subgroup of | #365×D101, C2×#20264999, #27172903, … |
| maximal quotient of | #27169197, #27169230, C2×#20264999 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 371);