Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C101 ⋊ #350 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,c^2=f,d^2=e,e^2=f,b^a=bc,g^a=g^10,c^b=cf,d^b=df,g^d=g^100278 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#20266075, D101⋊#350, #27187374, … |
| maximal normal subgroup of | C2×#20266075, D101⋊#350, #27187374, … |
| maximal quotient of | #27186054, #27186070, D4⋊#13108077, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1447);