Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #106×C101 ⋊ C2 |
| Sylow | C101 ⋊ #428 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,c^b=cf,g^c=g^100722 conjugacy classes — view the full character table.
| maximal subgroup of | #428×D101, C2×#20265216, #27179719, … |
| maximal normal subgroup of | #428×D101, C2×#20265216, #27179719, … |
| maximal quotient of | #27169881, #27169896, #27169914, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 588);