Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4⋊C4×C101 ⋊ C4 |
| Sylow | C101 ⋊ #339 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=cf,e^a=ef,g^b=g^10,g^e=g^100278 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#20266047, #27186808, #27186811, … |
| maximal normal subgroup of | C2×#20266047, #27186808, #27186811, … |
| maximal quotient of | #27185959, #27185963, #27185968, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1419);