Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | #117×C101 ⋊ C2 |
| Sylow | C101 ⋊ #418 |
190 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,c^b=cf,d^b=df,g^b=g^1001022 conjugacy classes — view the full character table.
| maximal subgroup of | #27171100, #27171101, #27171508, … |
| maximal normal subgroup of | #27171100, #27171101, #27171508, … |
| maximal quotient of | #27169522, #27169548, #27169574, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 553);