Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C101 ⋊ #343 |
98 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=cf,g^a=g^10,d^b=df,g^d=g^100422 conjugacy classes — view the full character table.
| maximal subgroup of | #27186114, #27186115, #27186116, … |
| maximal normal subgroup of | #27186114, #27186115, #27186116, … |
| maximal quotient of | #27185970, #27185977, #27185983, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1429);