Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×D8×C101 ⋊ C2 |
| Sylow | C101 ⋊ #509 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|d^2=ef,e^2=f,b^a=bd,c^a=cf,d^a=de,e^a=ef,g^a=g^100,d^b=de,e^b=ef716 conjugacy classes — view the full character table.
| maximal subgroup of | #27173028, #27173033, #27173076, … |
| maximal normal subgroup of | #27173028, #27173033, #27173076, … |
| maximal quotient of | #27172842, #27172848, #27172918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 985);