Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | M32×C101 ⋊ C2 |
| Sylow | C101 ⋊ #510 |
82 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|b^2=f,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=ef,g^b=g^1001016 conjugacy classes — view the full character table.
| maximal subgroup of | #27173022, #27173025, #27173084, … |
| maximal normal subgroup of | #27173022, #27173025, #27173084, … |
| maximal quotient of | #27172845, #27172853, #27172920, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 992);