Finite Group DatabasebetaFinite Group Databasebeta| order | 6464 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | M16×C101 ⋊ C4 |
| Sylow | C101 ⋊ #428 |
118 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,101|a^2=e,b^2=d,d^2=f,b^a=bd,d^a=df,g^a=g^10,c^b=cf,g^e=g^100272 conjugacy classes — view the full character table.
| maximal subgroup of | #27187087, #27187088, #27187091, … |
| maximal normal subgroup of | #27187087, #27187088, #27187091, … |
| maximal quotient of | #27186683, #27186684, #27186685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6464, 1560);