Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22×C8×C101 ⋊ C2 |
| Sylow | C101 ⋊ #416 |
158 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,c^2=f,d^2=f,b^a=bd,d^a=df,g^a=g^100,d^b=df,g^b=g^1001628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27170968, #27170969, #27170975, … |
| maximal normal subgroup of | #27170968, #27170969, #27170975, … |
| maximal quotient of | #27169515, #27169541, #27169567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 546);