Finite Group DatabasebetaFinite Group Databasebeta| order | 9664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C151 ⋊ #479 |
90 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,151|a^2=d,b^2=df,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^150,g^b=g^150,e^c=ef,g^c=g^1501069 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #479×D151, C2×#23752522, #34078896, … |
| maximal normal subgroup of | #479×D151, C2×#23752522, #34078896, … |
| maximal quotient of | #34069124, #34069365, #34069375, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9664, 859);