Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4×Q8×C101 ⋊ C2 |
| Sylow | C101 ⋊ #460 |
128 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^100,e^c=ef1019 conjugacy classes — view the full character table.
| maximal subgroup of | #27170191, #27170193, #27170197, … |
| maximal normal subgroup of | #27170191, #27170193, #27170197, … |
| maximal quotient of | #27170480, #27170492, #27170502, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 749);