Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×M16×C101 ⋊ C2 |
| Sylow | C101 ⋊ #469 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|b^2=df,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^100,c^b=cf1016 conjugacy classes — view the full character table.
| maximal subgroup of | #27169116, #27169118, #27169122, … |
| maximal normal subgroup of | #27169116, #27169118, #27169122, … |
| maximal quotient of | #27170611, #27170616, #27170645, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 802);